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Finding the Third Proportional to 137,083.50 and 317,319.75

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Solution

The third proportional to 137,083.50 and 317,319.75 is: 734,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,083.50 : 317,319.75 = 317,319.75 : x
  2. Step 2: Convert to fraction form
    137,083.50/317,319.75 = 317,319.75/x
  3. Step 3: Cross multiply
    137,083.50x = 317,319.75 × 317,319.75
  4. Step 4: Simplify right side
    137,083.50x = 100,691,823,740.06
  5. Step 5: Solve for x
    x = 100,691,823,740.06/137,083.50
  6. Step 6: Final answer
    x = 734,529.13

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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.