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Finding the Third Proportional to 200,661.75 and 301,720.13

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Solution

The third proportional to 200,661.75 and 301,720.13 is: 453,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,661.75 : 301,720.13 = 301,720.13 : x
  2. Step 2: Convert to fraction form
    200,661.75/301,720.13 = 301,720.13/x
  3. Step 3: Cross multiply
    200,661.75x = 301,720.13 × 301,720.13
  4. Step 4: Simplify right side
    200,661.75x = 91,035,033,830.02
  5. Step 5: Solve for x
    x = 91,035,033,830.02/200,661.75
  6. Step 6: Final answer
    x = 453,674.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.