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Finding the Third Proportional to 170,802 and 272,859

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Solution

The third proportional to 170,802 and 272,859 is: 435,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,802 : 272,859 = 272,859 : x
  2. Step 2: Convert to fraction form
    170,802/272,859 = 272,859/x
  3. Step 3: Cross multiply
    170,802x = 272,859 × 272,859
  4. Step 4: Simplify right side
    170,802x = 74,452,033,881
  5. Step 5: Solve for x
    x = 74,452,033,881/170,802
  6. Step 6: Final answer
    x = 435,896.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.