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Finding the Third Proportional to 193,282 and 292,596

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Solution

The third proportional to 193,282 and 292,596 is: 442,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,282 : 292,596 = 292,596 : x
  2. Step 2: Convert to fraction form
    193,282/292,596 = 292,596/x
  3. Step 3: Cross multiply
    193,282x = 292,596 × 292,596
  4. Step 4: Simplify right side
    193,282x = 85,612,419,216
  5. Step 5: Solve for x
    x = 85,612,419,216/193,282
  6. Step 6: Final answer
    x = 442,940.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.