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Finding the Third Proportional to 175,279.50 and 391,137.75

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Solution

The third proportional to 175,279.50 and 391,137.75 is: 872,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,279.50 : 391,137.75 = 391,137.75 : x
  2. Step 2: Convert to fraction form
    175,279.50/391,137.75 = 391,137.75/x
  3. Step 3: Cross multiply
    175,279.50x = 391,137.75 × 391,137.75
  4. Step 4: Simplify right side
    175,279.50x = 152,988,739,475.06
  5. Step 5: Solve for x
    x = 152,988,739,475.06/175,279.50
  6. Step 6: Final answer
    x = 872,827.34

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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.