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Finding the Third Proportional to 292,220 and 437,151

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Solution

The third proportional to 292,220 and 437,151 is: 653,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,220 : 437,151 = 437,151 : x
  2. Step 2: Convert to fraction form
    292,220/437,151 = 437,151/x
  3. Step 3: Cross multiply
    292,220x = 437,151 × 437,151
  4. Step 4: Simplify right side
    292,220x = 191,100,996,801
  5. Step 5: Solve for x
    x = 191,100,996,801/292,220
  6. Step 6: Final answer
    x = 653,962.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.