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Finding the Third Proportional to 156,732 and 333,432

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Solution

The third proportional to 156,732 and 333,432 is: 709,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,732 : 333,432 = 333,432 : x
  2. Step 2: Convert to fraction form
    156,732/333,432 = 333,432/x
  3. Step 3: Cross multiply
    156,732x = 333,432 × 333,432
  4. Step 4: Simplify right side
    156,732x = 111,176,898,624
  5. Step 5: Solve for x
    x = 111,176,898,624/156,732
  6. Step 6: Final answer
    x = 709,343.97

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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.