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Finding the Third Proportional to 159,609 and 242,875.50

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Solution

The third proportional to 159,609 and 242,875.50 is: 369,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,609 : 242,875.50 = 242,875.50 : x
  2. Step 2: Convert to fraction form
    159,609/242,875.50 = 242,875.50/x
  3. Step 3: Cross multiply
    159,609x = 242,875.50 × 242,875.50
  4. Step 4: Simplify right side
    159,609x = 58,988,508,500.25
  5. Step 5: Solve for x
    x = 58,988,508,500.25/159,609
  6. Step 6: Final answer
    x = 369,581.34

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