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Finding the Third Proportional to 159,552 and 242,658

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Solution

The third proportional to 159,552 and 242,658 is: 369,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,552 : 242,658 = 242,658 : x
  2. Step 2: Convert to fraction form
    159,552/242,658 = 242,658/x
  3. Step 3: Cross multiply
    159,552x = 242,658 × 242,658
  4. Step 4: Simplify right side
    159,552x = 58,882,904,964
  5. Step 5: Solve for x
    x = 58,882,904,964/159,552
  6. Step 6: Final answer
    x = 369,051.50

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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.