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Finding the Third Proportional to 159,738 and 242,524

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Solution

The third proportional to 159,738 and 242,524 is: 368,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,738 : 242,524 = 242,524 : x
  2. Step 2: Convert to fraction form
    159,738/242,524 = 242,524/x
  3. Step 3: Cross multiply
    159,738x = 242,524 × 242,524
  4. Step 4: Simplify right side
    159,738x = 58,817,890,576
  5. Step 5: Solve for x
    x = 58,817,890,576/159,738
  6. Step 6: Final answer
    x = 368,214.77

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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.