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Finding the Third Proportional to 141,459.75 and 287,020.13

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Solution

The third proportional to 141,459.75 and 287,020.13 is: 582,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,459.75 : 287,020.13 = 287,020.13 : x
  2. Step 2: Convert to fraction form
    141,459.75/287,020.13 = 287,020.13/x
  3. Step 3: Cross multiply
    141,459.75x = 287,020.13 × 287,020.13
  4. Step 4: Simplify right side
    141,459.75x = 82,380,552,155.02
  5. Step 5: Solve for x
    x = 82,380,552,155.02/141,459.75
  6. Step 6: Final answer
    x = 582,360.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.