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Finding the Third Proportional to 132,013.88 and 283,927.88

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Solution

The third proportional to 132,013.88 and 283,927.88 is: 610,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,013.88 : 283,927.88 = 283,927.88 : x
  2. Step 2: Convert to fraction form
    132,013.88/283,927.88 = 283,927.88/x
  3. Step 3: Cross multiply
    132,013.88x = 283,927.88 × 283,927.88
  4. Step 4: Simplify right side
    132,013.88x = 80,615,038,202.02
  5. Step 5: Solve for x
    x = 80,615,038,202.02/132,013.88
  6. Step 6: Final answer
    x = 610,655.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.