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Finding the Third Proportional to 159,602 and 242,723

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Solution

The third proportional to 159,602 and 242,723 is: 369,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,602 : 242,723 = 242,723 : x
  2. Step 2: Convert to fraction form
    159,602/242,723 = 242,723/x
  3. Step 3: Cross multiply
    159,602x = 242,723 × 242,723
  4. Step 4: Simplify right side
    159,602x = 58,914,454,729
  5. Step 5: Solve for x
    x = 58,914,454,729/159,602
  6. Step 6: Final answer
    x = 369,133.56

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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.