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Finding the Third Proportional to 90,708 and 210,870

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Solution

The third proportional to 90,708 and 210,870 is: 490,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,708 : 210,870 = 210,870 : x
  2. Step 2: Convert to fraction form
    90,708/210,870 = 210,870/x
  3. Step 3: Cross multiply
    90,708x = 210,870 × 210,870
  4. Step 4: Simplify right side
    90,708x = 44,466,156,900
  5. Step 5: Solve for x
    x = 44,466,156,900/90,708
  6. Step 6: Final answer
    x = 490,212.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.