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Finding the Third Proportional to 156,775 and 234,795

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Solution

The third proportional to 156,775 and 234,795 is: 351,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,775 : 234,795 = 234,795 : x
  2. Step 2: Convert to fraction form
    156,775/234,795 = 234,795/x
  3. Step 3: Cross multiply
    156,775x = 234,795 × 234,795
  4. Step 4: Simplify right side
    156,775x = 55,128,692,025
  5. Step 5: Solve for x
    x = 55,128,692,025/156,775
  6. Step 6: Final answer
    x = 351,642.11

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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.