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Finding the Third Proportional to 169,634 and 249,267

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Solution

The third proportional to 169,634 and 249,267 is: 366,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,634 : 249,267 = 249,267 : x
  2. Step 2: Convert to fraction form
    169,634/249,267 = 249,267/x
  3. Step 3: Cross multiply
    169,634x = 249,267 × 249,267
  4. Step 4: Simplify right side
    169,634x = 62,134,037,289
  5. Step 5: Solve for x
    x = 62,134,037,289/169,634
  6. Step 6: Final answer
    x = 366,282.92

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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.