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Finding the Third Proportional to 206,160 and 447,306

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Solution

The third proportional to 206,160 and 447,306 is: 970,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,160 : 447,306 = 447,306 : x
  2. Step 2: Convert to fraction form
    206,160/447,306 = 447,306/x
  3. Step 3: Cross multiply
    206,160x = 447,306 × 447,306
  4. Step 4: Simplify right side
    206,160x = 200,082,657,636
  5. Step 5: Solve for x
    x = 200,082,657,636/206,160
  6. Step 6: Final answer
    x = 970,521.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.