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Finding the Third Proportional to 131,020.31 and 279,199.13

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Solution

The third proportional to 131,020.31 and 279,199.13 is: 594,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,020.31 : 279,199.13 = 279,199.13 : x
  2. Step 2: Convert to fraction form
    131,020.31/279,199.13 = 279,199.13/x
  3. Step 3: Cross multiply
    131,020.31x = 279,199.13 × 279,199.13
  4. Step 4: Simplify right side
    131,020.31x = 77,952,151,400.77
  5. Step 5: Solve for x
    x = 77,952,151,400.77/131,020.31
  6. Step 6: Final answer
    x = 594,962.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.