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Finding the Third Proportional to 171,726 and 249,792

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Solution

The third proportional to 171,726 and 249,792 is: 363,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,726 : 249,792 = 249,792 : x
  2. Step 2: Convert to fraction form
    171,726/249,792 = 249,792/x
  3. Step 3: Cross multiply
    171,726x = 249,792 × 249,792
  4. Step 4: Simplify right side
    171,726x = 62,396,043,264
  5. Step 5: Solve for x
    x = 62,396,043,264/171,726
  6. Step 6: Final answer
    x = 363,346.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.