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Finding the Third Proportional to 204,940.13 and 432,160.31

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Solution

The third proportional to 204,940.13 and 432,160.31 is: 911,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,940.13 : 432,160.31 = 432,160.31 : x
  2. Step 2: Convert to fraction form
    204,940.13/432,160.31 = 432,160.31/x
  3. Step 3: Cross multiply
    204,940.13x = 432,160.31 × 432,160.31
  4. Step 4: Simplify right side
    204,940.13x = 186,762,535,700.10
  5. Step 5: Solve for x
    x = 186,762,535,700.10/204,940.13
  6. Step 6: Final answer
    x = 911,302.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.