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Finding the Third Proportional to 140,254.88 and 306,801

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Solution

The third proportional to 140,254.88 and 306,801 is: 671,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,254.88 : 306,801 = 306,801 : x
  2. Step 2: Convert to fraction form
    140,254.88/306,801 = 306,801/x
  3. Step 3: Cross multiply
    140,254.88x = 306,801 × 306,801
  4. Step 4: Simplify right side
    140,254.88x = 94,126,853,601
  5. Step 5: Solve for x
    x = 94,126,853,601/140,254.88
  6. Step 6: Final answer
    x = 671,112.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.