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Finding the Third Proportional to 200,017 and 292,125

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Solution

The third proportional to 200,017 and 292,125 is: 426,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,017 : 292,125 = 292,125 : x
  2. Step 2: Convert to fraction form
    200,017/292,125 = 292,125/x
  3. Step 3: Cross multiply
    200,017x = 292,125 × 292,125
  4. Step 4: Simplify right side
    200,017x = 85,337,015,625
  5. Step 5: Solve for x
    x = 85,337,015,625/200,017
  6. Step 6: Final answer
    x = 426,648.81

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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.