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Finding the Third Proportional to 73,482 and 156,582

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Solution

The third proportional to 73,482 and 156,582 is: 333,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,482 : 156,582 = 156,582 : x
  2. Step 2: Convert to fraction form
    73,482/156,582 = 156,582/x
  3. Step 3: Cross multiply
    73,482x = 156,582 × 156,582
  4. Step 4: Simplify right side
    73,482x = 24,517,922,724
  5. Step 5: Solve for x
    x = 24,517,922,724/73,482
  6. Step 6: Final answer
    x = 333,658.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.