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Finding the Third Proportional to 169,644 and 249,282

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Solution

The third proportional to 169,644 and 249,282 is: 366,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,644 : 249,282 = 249,282 : x
  2. Step 2: Convert to fraction form
    169,644/249,282 = 249,282/x
  3. Step 3: Cross multiply
    169,644x = 249,282 × 249,282
  4. Step 4: Simplify right side
    169,644x = 62,141,515,524
  5. Step 5: Solve for x
    x = 62,141,515,524/169,644
  6. Step 6: Final answer
    x = 366,305.41

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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.