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Finding the Third Proportional to 210,761 and 321,389

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Solution

The third proportional to 210,761 and 321,389 is: 490,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,761 : 321,389 = 321,389 : x
  2. Step 2: Convert to fraction form
    210,761/321,389 = 321,389/x
  3. Step 3: Cross multiply
    210,761x = 321,389 × 321,389
  4. Step 4: Simplify right side
    210,761x = 103,290,889,321
  5. Step 5: Solve for x
    x = 103,290,889,321/210,761
  6. Step 6: Final answer
    x = 490,085.40

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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.