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Finding the Third Proportional to 137,666.25 and 282,744

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Solution

The third proportional to 137,666.25 and 282,744 is: 580,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,666.25 : 282,744 = 282,744 : x
  2. Step 2: Convert to fraction form
    137,666.25/282,744 = 282,744/x
  3. Step 3: Cross multiply
    137,666.25x = 282,744 × 282,744
  4. Step 4: Simplify right side
    137,666.25x = 79,944,169,536
  5. Step 5: Solve for x
    x = 79,944,169,536/137,666.25
  6. Step 6: Final answer
    x = 580,710.01

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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.