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Finding the Third Proportional to 252,270.28 and 391,014.84

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Solution

The third proportional to 252,270.28 and 391,014.84 is: 606,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,270.28 : 391,014.84 = 391,014.84 : x
  2. Step 2: Convert to fraction form
    252,270.28/391,014.84 = 391,014.84/x
  3. Step 3: Cross multiply
    252,270.28x = 391,014.84 × 391,014.84
  4. Step 4: Simplify right side
    252,270.28x = 152,892,608,032.84
  5. Step 5: Solve for x
    x = 152,892,608,032.84/252,270.28
  6. Step 6: Final answer
    x = 606,066.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.