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Finding the Third Proportional to 218,560 and 347,532

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Solution

The third proportional to 218,560 and 347,532 is: 552,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,560 : 347,532 = 347,532 : x
  2. Step 2: Convert to fraction form
    218,560/347,532 = 347,532/x
  3. Step 3: Cross multiply
    218,560x = 347,532 × 347,532
  4. Step 4: Simplify right side
    218,560x = 120,778,491,024
  5. Step 5: Solve for x
    x = 120,778,491,024/218,560
  6. Step 6: Final answer
    x = 552,610.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.