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Finding the Third Proportional to 137,619 and 284,677.13

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Solution

The third proportional to 137,619 and 284,677.13 is: 588,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,619 : 284,677.13 = 284,677.13 : x
  2. Step 2: Convert to fraction form
    137,619/284,677.13 = 284,677.13/x
  3. Step 3: Cross multiply
    137,619x = 284,677.13 × 284,677.13
  4. Step 4: Simplify right side
    137,619x = 81,041,065,498.27
  5. Step 5: Solve for x
    x = 81,041,065,498.27/137,619
  6. Step 6: Final answer
    x = 588,879.92

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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.