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Finding the Third Proportional to 220,904 and 344,460

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Solution

The third proportional to 220,904 and 344,460 is: 537,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,904 : 344,460 = 344,460 : x
  2. Step 2: Convert to fraction form
    220,904/344,460 = 344,460/x
  3. Step 3: Cross multiply
    220,904x = 344,460 × 344,460
  4. Step 4: Simplify right side
    220,904x = 118,652,691,600
  5. Step 5: Solve for x
    x = 118,652,691,600/220,904
  6. Step 6: Final answer
    x = 537,123.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.