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Finding the Third Proportional to 142,552.41 and 199,296.84

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Solution

The third proportional to 142,552.41 and 199,296.84 is: 278,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,552.41 : 199,296.84 = 199,296.84 : x
  2. Step 2: Convert to fraction form
    142,552.41/199,296.84 = 199,296.84/x
  3. Step 3: Cross multiply
    142,552.41x = 199,296.84 × 199,296.84
  4. Step 4: Simplify right side
    142,552.41x = 39,719,231,928.71
  5. Step 5: Solve for x
    x = 39,719,231,928.71/142,552.41
  6. Step 6: Final answer
    x = 278,628.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.