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Finding the Third Proportional to 224,957.25 and 316,386

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Solution

The third proportional to 224,957.25 and 316,386 is: 444,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,957.25 : 316,386 = 316,386 : x
  2. Step 2: Convert to fraction form
    224,957.25/316,386 = 316,386/x
  3. Step 3: Cross multiply
    224,957.25x = 316,386 × 316,386
  4. Step 4: Simplify right side
    224,957.25x = 100,100,100,996
  5. Step 5: Solve for x
    x = 100,100,100,996/224,957.25
  6. Step 6: Final answer
    x = 444,973.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.