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Finding the Third Proportional to 209,882 and 332,875

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Solution

The third proportional to 209,882 and 332,875 is: 527,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,882 : 332,875 = 332,875 : x
  2. Step 2: Convert to fraction form
    209,882/332,875 = 332,875/x
  3. Step 3: Cross multiply
    209,882x = 332,875 × 332,875
  4. Step 4: Simplify right side
    209,882x = 110,805,765,625
  5. Step 5: Solve for x
    x = 110,805,765,625/209,882
  6. Step 6: Final answer
    x = 527,943.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.