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Finding the Third Proportional to 218,432 and 293,526

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Solution

The third proportional to 218,432 and 293,526 is: 394,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,432 : 293,526 = 293,526 : x
  2. Step 2: Convert to fraction form
    218,432/293,526 = 293,526/x
  3. Step 3: Cross multiply
    218,432x = 293,526 × 293,526
  4. Step 4: Simplify right side
    218,432x = 86,157,512,676
  5. Step 5: Solve for x
    x = 86,157,512,676/218,432
  6. Step 6: Final answer
    x = 394,436.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.