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Finding the Third Proportional to 141,488.44 and 214,055.16

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Solution

The third proportional to 141,488.44 and 214,055.16 is: 323,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,488.44 : 214,055.16 = 214,055.16 : x
  2. Step 2: Convert to fraction form
    141,488.44/214,055.16 = 214,055.16/x
  3. Step 3: Cross multiply
    141,488.44x = 214,055.16 × 214,055.16
  4. Step 4: Simplify right side
    141,488.44x = 45,819,609,917.21
  5. Step 5: Solve for x
    x = 45,819,609,917.21/141,488.44
  6. Step 6: Final answer
    x = 323,839.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.