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Finding the Third Proportional to 222,157 and 344,089.50

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Solution

The third proportional to 222,157 and 344,089.50 is: 532,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,157 : 344,089.50 = 344,089.50 : x
  2. Step 2: Convert to fraction form
    222,157/344,089.50 = 344,089.50/x
  3. Step 3: Cross multiply
    222,157x = 344,089.50 × 344,089.50
  4. Step 4: Simplify right side
    222,157x = 118,397,584,010.25
  5. Step 5: Solve for x
    x = 118,397,584,010.25/222,157
  6. Step 6: Final answer
    x = 532,945.55

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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.