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Finding the Third Proportional to 201,870 and 313,466

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Solution

The third proportional to 201,870 and 313,466 is: 486,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870 : 313,466 = 313,466 : x
  2. Step 2: Convert to fraction form
    201,870/313,466 = 313,466/x
  3. Step 3: Cross multiply
    201,870x = 313,466 × 313,466
  4. Step 4: Simplify right side
    201,870x = 98,260,933,156
  5. Step 5: Solve for x
    x = 98,260,933,156/201,870
  6. Step 6: Final answer
    x = 486,753.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.