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Finding the Third Proportional to 207,154.13 and 313,532.44

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Solution

The third proportional to 207,154.13 and 313,532.44 is: 474,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,154.13 : 313,532.44 = 313,532.44 : x
  2. Step 2: Convert to fraction form
    207,154.13/313,532.44 = 313,532.44/x
  3. Step 3: Cross multiply
    207,154.13x = 313,532.44 × 313,532.44
  4. Step 4: Simplify right side
    207,154.13x = 98,302,589,364.69
  5. Step 5: Solve for x
    x = 98,302,589,364.69/207,154.13
  6. Step 6: Final answer
    x = 474,538.41

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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.