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Finding the Third Proportional to 107,400 and 234,792

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Solution

The third proportional to 107,400 and 234,792 is: 513,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,400 : 234,792 = 234,792 : x
  2. Step 2: Convert to fraction form
    107,400/234,792 = 234,792/x
  3. Step 3: Cross multiply
    107,400x = 234,792 × 234,792
  4. Step 4: Simplify right side
    107,400x = 55,127,283,264
  5. Step 5: Solve for x
    x = 55,127,283,264/107,400
  6. Step 6: Final answer
    x = 513,289.42

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Why These Related Problems?

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