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Finding the Third Proportional to 207,939 and 313,387.50

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Solution

The third proportional to 207,939 and 313,387.50 is: 472,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,939 : 313,387.50 = 313,387.50 : x
  2. Step 2: Convert to fraction form
    207,939/313,387.50 = 313,387.50/x
  3. Step 3: Cross multiply
    207,939x = 313,387.50 × 313,387.50
  4. Step 4: Simplify right side
    207,939x = 98,211,725,156.25
  5. Step 5: Solve for x
    x = 98,211,725,156.25/207,939
  6. Step 6: Final answer
    x = 472,310.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.