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Finding the Third Proportional to 252,616.50 and 392,229

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Solution

The third proportional to 252,616.50 and 392,229 is: 609,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,616.50 : 392,229 = 392,229 : x
  2. Step 2: Convert to fraction form
    252,616.50/392,229 = 392,229/x
  3. Step 3: Cross multiply
    252,616.50x = 392,229 × 392,229
  4. Step 4: Simplify right side
    252,616.50x = 153,843,588,441
  5. Step 5: Solve for x
    x = 153,843,588,441/252,616.50
  6. Step 6: Final answer
    x = 609,000.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.