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Finding the Third Proportional to 142,194.38 and 214,193.25

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Solution

The third proportional to 142,194.38 and 214,193.25 is: 322,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,194.38 : 214,193.25 = 214,193.25 : x
  2. Step 2: Convert to fraction form
    142,194.38/214,193.25 = 214,193.25/x
  3. Step 3: Cross multiply
    142,194.38x = 214,193.25 × 214,193.25
  4. Step 4: Simplify right side
    142,194.38x = 45,878,748,345.56
  5. Step 5: Solve for x
    x = 45,878,748,345.56/142,194.38
  6. Step 6: Final answer
    x = 322,648.12

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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.