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Finding the Third Proportional to 156,264.75 and 341,932.50

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Solution

The third proportional to 156,264.75 and 341,932.50 is: 748,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,264.75 : 341,932.50 = 341,932.50 : x
  2. Step 2: Convert to fraction form
    156,264.75/341,932.50 = 341,932.50/x
  3. Step 3: Cross multiply
    156,264.75x = 341,932.50 × 341,932.50
  4. Step 4: Simplify right side
    156,264.75x = 116,917,834,556.25
  5. Step 5: Solve for x
    x = 116,917,834,556.25/156,264.75
  6. Step 6: Final answer
    x = 748,203.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.