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Finding the Third Proportional to 207,351.14 and 312,930.84

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Solution

The third proportional to 207,351.14 and 312,930.84 is: 472,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,351.14 : 312,930.84 = 312,930.84 : x
  2. Step 2: Convert to fraction form
    207,351.14/312,930.84 = 312,930.84/x
  3. Step 3: Cross multiply
    207,351.14x = 312,930.84 × 312,930.84
  4. Step 4: Simplify right side
    207,351.14x = 97,925,712,970.09
  5. Step 5: Solve for x
    x = 97,925,712,970.09/207,351.14
  6. Step 6: Final answer
    x = 472,269.95

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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.