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Finding the Third Proportional to 156,948 and 239,526

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Solution

The third proportional to 156,948 and 239,526 is: 365,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,948 : 239,526 = 239,526 : x
  2. Step 2: Convert to fraction form
    156,948/239,526 = 239,526/x
  3. Step 3: Cross multiply
    156,948x = 239,526 × 239,526
  4. Step 4: Simplify right side
    156,948x = 57,372,704,676
  5. Step 5: Solve for x
    x = 57,372,704,676/156,948
  6. Step 6: Final answer
    x = 365,552.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.