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Finding the Third Proportional to 142,663.13 and 337,382.63

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Solution

The third proportional to 142,663.13 and 337,382.63 is: 797,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,663.13 : 337,382.63 = 337,382.63 : x
  2. Step 2: Convert to fraction form
    142,663.13/337,382.63 = 337,382.63/x
  3. Step 3: Cross multiply
    142,663.13x = 337,382.63 × 337,382.63
  4. Step 4: Simplify right side
    142,663.13x = 113,827,035,651.89
  5. Step 5: Solve for x
    x = 113,827,035,651.89/142,663.13
  6. Step 6: Final answer
    x = 797,872.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.