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Finding the Third Proportional to 151,434.56 and 327,943.69

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Solution

The third proportional to 151,434.56 and 327,943.69 is: 710,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,434.56 : 327,943.69 = 327,943.69 : x
  2. Step 2: Convert to fraction form
    151,434.56/327,943.69 = 327,943.69/x
  3. Step 3: Cross multiply
    151,434.56x = 327,943.69 × 327,943.69
  4. Step 4: Simplify right side
    151,434.56x = 107,547,062,171.10
  5. Step 5: Solve for x
    x = 107,547,062,171.10/151,434.56
  6. Step 6: Final answer
    x = 710,188.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.