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Finding the Third Proportional to 159,580.13 and 242,686.13

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Solution

The third proportional to 159,580.13 and 242,686.13 is: 369,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,580.13 : 242,686.13 = 242,686.13 : x
  2. Step 2: Convert to fraction form
    159,580.13/242,686.13 = 242,686.13/x
  3. Step 3: Cross multiply
    159,580.13x = 242,686.13 × 242,686.13
  4. Step 4: Simplify right side
    159,580.13x = 58,896,555,267.52
  5. Step 5: Solve for x
    x = 58,896,555,267.52/159,580.13
  6. Step 6: Final answer
    x = 369,072.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.