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Finding the Third Proportional to 162,115 and 242,524

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Solution

The third proportional to 162,115 and 242,524 is: 362,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,115 : 242,524 = 242,524 : x
  2. Step 2: Convert to fraction form
    162,115/242,524 = 242,524/x
  3. Step 3: Cross multiply
    162,115x = 242,524 × 242,524
  4. Step 4: Simplify right side
    162,115x = 58,817,890,576
  5. Step 5: Solve for x
    x = 58,817,890,576/162,115
  6. Step 6: Final answer
    x = 362,815.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.