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Finding the Third Proportional to 142,811.44 and 338,345.44

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Solution

The third proportional to 142,811.44 and 338,345.44 is: 801,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,811.44 : 338,345.44 = 338,345.44 : x
  2. Step 2: Convert to fraction form
    142,811.44/338,345.44 = 338,345.44/x
  3. Step 3: Cross multiply
    142,811.44x = 338,345.44 × 338,345.44
  4. Step 4: Simplify right side
    142,811.44x = 114,477,635,077.07
  5. Step 5: Solve for x
    x = 114,477,635,077.07/142,811.44
  6. Step 6: Final answer
    x = 801,599.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.