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Finding the Third Proportional to 145,324.13 and 213,680.53

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Solution

The third proportional to 145,324.13 and 213,680.53 is: 314,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,324.13 : 213,680.53 = 213,680.53 : x
  2. Step 2: Convert to fraction form
    145,324.13/213,680.53 = 213,680.53/x
  3. Step 3: Cross multiply
    145,324.13x = 213,680.53 × 213,680.53
  4. Step 4: Simplify right side
    145,324.13x = 45,659,369,435.28
  5. Step 5: Solve for x
    x = 45,659,369,435.28/145,324.13
  6. Step 6: Final answer
    x = 314,189.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.