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Finding the Third Proportional to 170,799 and 365,246.25

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Solution

The third proportional to 170,799 and 365,246.25 is: 781,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,799 : 365,246.25 = 365,246.25 : x
  2. Step 2: Convert to fraction form
    170,799/365,246.25 = 365,246.25/x
  3. Step 3: Cross multiply
    170,799x = 365,246.25 × 365,246.25
  4. Step 4: Simplify right side
    170,799x = 133,404,823,139.06
  5. Step 5: Solve for x
    x = 133,404,823,139.06/170,799
  6. Step 6: Final answer
    x = 781,063.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.