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Finding the Third Proportional to 241,232.38 and 354,831.88

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Solution

The third proportional to 241,232.38 and 354,831.88 is: 521,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,232.38 : 354,831.88 = 354,831.88 : x
  2. Step 2: Convert to fraction form
    241,232.38/354,831.88 = 354,831.88/x
  3. Step 3: Cross multiply
    241,232.38x = 354,831.88 × 354,831.88
  4. Step 4: Simplify right side
    241,232.38x = 125,905,659,516.02
  5. Step 5: Solve for x
    x = 125,905,659,516.02/241,232.38
  6. Step 6: Final answer
    x = 521,926.87

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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.