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Finding the Third Proportional to 222,442.50 and 344,722.50

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Solution

The third proportional to 222,442.50 and 344,722.50 is: 534,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,442.50 : 344,722.50 = 344,722.50 : x
  2. Step 2: Convert to fraction form
    222,442.50/344,722.50 = 344,722.50/x
  3. Step 3: Cross multiply
    222,442.50x = 344,722.50 × 344,722.50
  4. Step 4: Simplify right side
    222,442.50x = 118,833,602,006.25
  5. Step 5: Solve for x
    x = 118,833,602,006.25/222,442.50
  6. Step 6: Final answer
    x = 534,221.66

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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.