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Finding the Third Proportional to 156,767 and 234,783

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Solution

The third proportional to 156,767 and 234,783 is: 351,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,767 : 234,783 = 234,783 : x
  2. Step 2: Convert to fraction form
    156,767/234,783 = 234,783/x
  3. Step 3: Cross multiply
    156,767x = 234,783 × 234,783
  4. Step 4: Simplify right side
    156,767x = 55,123,057,089
  5. Step 5: Solve for x
    x = 55,123,057,089/156,767
  6. Step 6: Final answer
    x = 351,624.11

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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.