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Finding the Third Proportional to 107,324 and 235,792

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Solution

The third proportional to 107,324 and 235,792 is: 518,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,324 : 235,792 = 235,792 : x
  2. Step 2: Convert to fraction form
    107,324/235,792 = 235,792/x
  3. Step 3: Cross multiply
    107,324x = 235,792 × 235,792
  4. Step 4: Simplify right side
    107,324x = 55,597,867,264
  5. Step 5: Solve for x
    x = 55,597,867,264/107,324
  6. Step 6: Final answer
    x = 518,037.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.