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Finding the Third Proportional to 200,151 and 292,329

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Solution

The third proportional to 200,151 and 292,329 is: 426,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,151 : 292,329 = 292,329 : x
  2. Step 2: Convert to fraction form
    200,151/292,329 = 292,329/x
  3. Step 3: Cross multiply
    200,151x = 292,329 × 292,329
  4. Step 4: Simplify right side
    200,151x = 85,456,244,241
  5. Step 5: Solve for x
    x = 85,456,244,241/200,151
  6. Step 6: Final answer
    x = 426,958.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.