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Finding the Third Proportional to 156,737 and 282,370

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Solution

The third proportional to 156,737 and 282,370 is: 508,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,737 : 282,370 = 282,370 : x
  2. Step 2: Convert to fraction form
    156,737/282,370 = 282,370/x
  3. Step 3: Cross multiply
    156,737x = 282,370 × 282,370
  4. Step 4: Simplify right side
    156,737x = 79,732,816,900
  5. Step 5: Solve for x
    x = 79,732,816,900/156,737
  6. Step 6: Final answer
    x = 508,704.50

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.