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Finding the Third Proportional to 188,956.50 and 414,772.50

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Solution

The third proportional to 188,956.50 and 414,772.50 is: 910,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,956.50 : 414,772.50 = 414,772.50 : x
  2. Step 2: Convert to fraction form
    188,956.50/414,772.50 = 414,772.50/x
  3. Step 3: Cross multiply
    188,956.50x = 414,772.50 × 414,772.50
  4. Step 4: Simplify right side
    188,956.50x = 172,036,226,756.25
  5. Step 5: Solve for x
    x = 172,036,226,756.25/188,956.50
  6. Step 6: Final answer
    x = 910,454.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.