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Finding the Third Proportional to 156,102.75 and 232,425.75

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Solution

The third proportional to 156,102.75 and 232,425.75 is: 346,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,102.75 : 232,425.75 = 232,425.75 : x
  2. Step 2: Convert to fraction form
    156,102.75/232,425.75 = 232,425.75/x
  3. Step 3: Cross multiply
    156,102.75x = 232,425.75 × 232,425.75
  4. Step 4: Simplify right side
    156,102.75x = 54,021,729,263.06
  5. Step 5: Solve for x
    x = 54,021,729,263.06/156,102.75
  6. Step 6: Final answer
    x = 346,065.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.