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Finding the Third Proportional to 175,327.50 and 382,366.50

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Solution

The third proportional to 175,327.50 and 382,366.50 is: 833,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,327.50 : 382,366.50 = 382,366.50 : x
  2. Step 2: Convert to fraction form
    175,327.50/382,366.50 = 382,366.50/x
  3. Step 3: Cross multiply
    175,327.50x = 382,366.50 × 382,366.50
  4. Step 4: Simplify right side
    175,327.50x = 146,204,140,322.25
  5. Step 5: Solve for x
    x = 146,204,140,322.25/175,327.50
  6. Step 6: Final answer
    x = 833,891.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.