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Finding the Third Proportional to 175,284 and 391,146.75

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Solution

The third proportional to 175,284 and 391,146.75 is: 872,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,284 : 391,146.75 = 391,146.75 : x
  2. Step 2: Convert to fraction form
    175,284/391,146.75 = 391,146.75/x
  3. Step 3: Cross multiply
    175,284x = 391,146.75 × 391,146.75
  4. Step 4: Simplify right side
    175,284x = 152,995,780,035.56
  5. Step 5: Solve for x
    x = 152,995,780,035.56/175,284
  6. Step 6: Final answer
    x = 872,845.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.