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Finding the Third Proportional to 200,760.19 and 307,491.19

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Solution

The third proportional to 200,760.19 and 307,491.19 is: 470,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,760.19 : 307,491.19 = 307,491.19 : x
  2. Step 2: Convert to fraction form
    200,760.19/307,491.19 = 307,491.19/x
  3. Step 3: Cross multiply
    200,760.19x = 307,491.19 × 307,491.19
  4. Step 4: Simplify right side
    200,760.19x = 94,550,830,390.16
  5. Step 5: Solve for x
    x = 94,550,830,390.16/200,760.19
  6. Step 6: Final answer
    x = 470,964.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.