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Finding the Third Proportional to 137,081.25 and 317,324.25

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Solution

The third proportional to 137,081.25 and 317,324.25 is: 734,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,081.25 : 317,324.25 = 317,324.25 : x
  2. Step 2: Convert to fraction form
    137,081.25/317,324.25 = 317,324.25/x
  3. Step 3: Cross multiply
    137,081.25x = 317,324.25 × 317,324.25
  4. Step 4: Simplify right side
    137,081.25x = 100,694,679,638.06
  5. Step 5: Solve for x
    x = 100,694,679,638.06/137,081.25
  6. Step 6: Final answer
    x = 734,562.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.