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Finding the Third Proportional to 131,324 and 256,088

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Solution

The third proportional to 131,324 and 256,088 is: 499,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,324 : 256,088 = 256,088 : x
  2. Step 2: Convert to fraction form
    131,324/256,088 = 256,088/x
  3. Step 3: Cross multiply
    131,324x = 256,088 × 256,088
  4. Step 4: Simplify right side
    131,324x = 65,581,063,744
  5. Step 5: Solve for x
    x = 65,581,063,744/131,324
  6. Step 6: Final answer
    x = 499,383.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.