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Finding the Third Proportional to 137,608.50 and 284,656.13

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Solution

The third proportional to 137,608.50 and 284,656.13 is: 588,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.50 : 284,656.13 = 284,656.13 : x
  2. Step 2: Convert to fraction form
    137,608.50/284,656.13 = 284,656.13/x
  3. Step 3: Cross multiply
    137,608.50x = 284,656.13 × 284,656.13
  4. Step 4: Simplify right side
    137,608.50x = 81,029,109,500.02
  5. Step 5: Solve for x
    x = 81,029,109,500.02/137,608.50
  6. Step 6: Final answer
    x = 588,837.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.