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Finding the Third Proportional to 220,132 and 334,374

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Solution

The third proportional to 220,132 and 334,374 is: 507,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,132 : 334,374 = 334,374 : x
  2. Step 2: Convert to fraction form
    220,132/334,374 = 334,374/x
  3. Step 3: Cross multiply
    220,132x = 334,374 × 334,374
  4. Step 4: Simplify right side
    220,132x = 111,805,971,876
  5. Step 5: Solve for x
    x = 111,805,971,876/220,132
  6. Step 6: Final answer
    x = 507,904.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.