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Finding the Third Proportional to 159,582 and 242,689

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Solution

The third proportional to 159,582 and 242,689 is: 369,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,582 : 242,689 = 242,689 : x
  2. Step 2: Convert to fraction form
    159,582/242,689 = 242,689/x
  3. Step 3: Cross multiply
    159,582x = 242,689 × 242,689
  4. Step 4: Simplify right side
    159,582x = 58,897,950,721
  5. Step 5: Solve for x
    x = 58,897,950,721/159,582
  6. Step 6: Final answer
    x = 369,076.40

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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.