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Finding the Third Proportional to 169,381 and 249,396

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Solution

The third proportional to 169,381 and 249,396 is: 367,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,381 : 249,396 = 249,396 : x
  2. Step 2: Convert to fraction form
    169,381/249,396 = 249,396/x
  3. Step 3: Cross multiply
    169,381x = 249,396 × 249,396
  4. Step 4: Simplify right side
    169,381x = 62,198,364,816
  5. Step 5: Solve for x
    x = 62,198,364,816/169,381
  6. Step 6: Final answer
    x = 367,209.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.