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Finding the Third Proportional to 204,306 and 433,186

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Solution

The third proportional to 204,306 and 433,186 is: 918,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,306 : 433,186 = 433,186 : x
  2. Step 2: Convert to fraction form
    204,306/433,186 = 433,186/x
  3. Step 3: Cross multiply
    204,306x = 433,186 × 433,186
  4. Step 4: Simplify right side
    204,306x = 187,650,110,596
  5. Step 5: Solve for x
    x = 187,650,110,596/204,306
  6. Step 6: Final answer
    x = 918,475.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.