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Finding the Third Proportional to 142,487.44 and 222,357.66

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Solution

The third proportional to 142,487.44 and 222,357.66 is: 346,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,487.44 : 222,357.66 = 222,357.66 : x
  2. Step 2: Convert to fraction form
    142,487.44/222,357.66 = 222,357.66/x
  3. Step 3: Cross multiply
    142,487.44x = 222,357.66 × 222,357.66
  4. Step 4: Simplify right side
    142,487.44x = 49,442,927,292.99
  5. Step 5: Solve for x
    x = 49,442,927,292.99/142,487.44
  6. Step 6: Final answer
    x = 346,998.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.