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Finding the Third Proportional to 137,654.88 and 282,720.88

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Solution

The third proportional to 137,654.88 and 282,720.88 is: 580,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,654.88 : 282,720.88 = 282,720.88 : x
  2. Step 2: Convert to fraction form
    137,654.88/282,720.88 = 282,720.88/x
  3. Step 3: Cross multiply
    137,654.88x = 282,720.88 × 282,720.88
  4. Step 4: Simplify right side
    137,654.88x = 79,931,093,160.77
  5. Step 5: Solve for x
    x = 79,931,093,160.77/137,654.88
  6. Step 6: Final answer
    x = 580,663.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.