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Finding the Third Proportional to 156,962 and 240,051

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Solution

The third proportional to 156,962 and 240,051 is: 367,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,962 : 240,051 = 240,051 : x
  2. Step 2: Convert to fraction form
    156,962/240,051 = 240,051/x
  3. Step 3: Cross multiply
    156,962x = 240,051 × 240,051
  4. Step 4: Simplify right side
    156,962x = 57,624,482,601
  5. Step 5: Solve for x
    x = 57,624,482,601/156,962
  6. Step 6: Final answer
    x = 367,123.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.