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Finding the Third Proportional to 159,587 and 242,697

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Solution

The third proportional to 159,587 and 242,697 is: 369,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,587 : 242,697 = 242,697 : x
  2. Step 2: Convert to fraction form
    159,587/242,697 = 242,697/x
  3. Step 3: Cross multiply
    159,587x = 242,697 × 242,697
  4. Step 4: Simplify right side
    159,587x = 58,901,833,809
  5. Step 5: Solve for x
    x = 58,901,833,809/159,587
  6. Step 6: Final answer
    x = 369,089.17

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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.