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Finding the Third Proportional to 210,759 and 321,386

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Solution

The third proportional to 210,759 and 321,386 is: 490,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,759 : 321,386 = 321,386 : x
  2. Step 2: Convert to fraction form
    210,759/321,386 = 321,386/x
  3. Step 3: Cross multiply
    210,759x = 321,386 × 321,386
  4. Step 4: Simplify right side
    210,759x = 103,288,960,996
  5. Step 5: Solve for x
    x = 103,288,960,996/210,759
  6. Step 6: Final answer
    x = 490,080.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.