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Finding the Third Proportional to 170,796 and 272,850

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Solution

The third proportional to 170,796 and 272,850 is: 435,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,796 : 272,850 = 272,850 : x
  2. Step 2: Convert to fraction form
    170,796/272,850 = 272,850/x
  3. Step 3: Cross multiply
    170,796x = 272,850 × 272,850
  4. Step 4: Simplify right side
    170,796x = 74,447,122,500
  5. Step 5: Solve for x
    x = 74,447,122,500/170,796
  6. Step 6: Final answer
    x = 435,883.29

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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.