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Finding the Third Proportional to 222,454.50 and 344,740.50

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Solution

The third proportional to 222,454.50 and 344,740.50 is: 534,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,454.50 : 344,740.50 = 344,740.50 : x
  2. Step 2: Convert to fraction form
    222,454.50/344,740.50 = 344,740.50/x
  3. Step 3: Cross multiply
    222,454.50x = 344,740.50 × 344,740.50
  4. Step 4: Simplify right side
    222,454.50x = 118,846,012,340.25
  5. Step 5: Solve for x
    x = 118,846,012,340.25/222,454.50
  6. Step 6: Final answer
    x = 534,248.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.