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Finding the Third Proportional to 200,465.81 and 436,222.13

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Solution

The third proportional to 200,465.81 and 436,222.13 is: 949,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,465.81 : 436,222.13 = 436,222.13 : x
  2. Step 2: Convert to fraction form
    200,465.81/436,222.13 = 436,222.13/x
  3. Step 3: Cross multiply
    200,465.81x = 436,222.13 × 436,222.13
  4. Step 4: Simplify right side
    200,465.81x = 190,289,742,339.52
  5. Step 5: Solve for x
    x = 190,289,742,339.52/200,465.81
  6. Step 6: Final answer
    x = 949,237.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.