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Finding the Third Proportional to 177,811.50 and 387,577.50

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Solution

The third proportional to 177,811.50 and 387,577.50 is: 844,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,811.50 : 387,577.50 = 387,577.50 : x
  2. Step 2: Convert to fraction form
    177,811.50/387,577.50 = 387,577.50/x
  3. Step 3: Cross multiply
    177,811.50x = 387,577.50 × 387,577.50
  4. Step 4: Simplify right side
    177,811.50x = 150,216,318,506.25
  5. Step 5: Solve for x
    x = 150,216,318,506.25/177,811.50
  6. Step 6: Final answer
    x = 844,806.54

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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.