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Finding the Third Proportional to 169,820.25 and 363,420

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Solution

The third proportional to 169,820.25 and 363,420 is: 777,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,820.25 : 363,420 = 363,420 : x
  2. Step 2: Convert to fraction form
    169,820.25/363,420 = 363,420/x
  3. Step 3: Cross multiply
    169,820.25x = 363,420 × 363,420
  4. Step 4: Simplify right side
    169,820.25x = 132,074,096,400
  5. Step 5: Solve for x
    x = 132,074,096,400/169,820.25
  6. Step 6: Final answer
    x = 777,728.78

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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.