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Finding the Third Proportional to 141,355.13 and 304,851.09

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Solution

The third proportional to 141,355.13 and 304,851.09 is: 657,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,355.13 : 304,851.09 = 304,851.09 : x
  2. Step 2: Convert to fraction form
    141,355.13/304,851.09 = 304,851.09/x
  3. Step 3: Cross multiply
    141,355.13x = 304,851.09 × 304,851.09
  4. Step 4: Simplify right side
    141,355.13x = 92,934,189,360.57
  5. Step 5: Solve for x
    x = 92,934,189,360.57/141,355.13
  6. Step 6: Final answer
    x = 657,451.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.