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Finding the Third Proportional to 154,577.50 and 245,891.50

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Solution

The third proportional to 154,577.50 and 245,891.50 is: 391,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,577.50 : 245,891.50 = 245,891.50 : x
  2. Step 2: Convert to fraction form
    154,577.50/245,891.50 = 245,891.50/x
  3. Step 3: Cross multiply
    154,577.50x = 245,891.50 × 245,891.50
  4. Step 4: Simplify right side
    154,577.50x = 60,462,629,772.25
  5. Step 5: Solve for x
    x = 60,462,629,772.25/154,577.50
  6. Step 6: Final answer
    x = 391,147.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.