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Finding the Third Proportional to 141,734.25 and 213,242.63

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Solution

The third proportional to 141,734.25 and 213,242.63 is: 320,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,734.25 : 213,242.63 = 213,242.63 : x
  2. Step 2: Convert to fraction form
    141,734.25/213,242.63 = 213,242.63/x
  3. Step 3: Cross multiply
    141,734.25x = 213,242.63 × 213,242.63
  4. Step 4: Simplify right side
    141,734.25x = 45,472,417,116.89
  5. Step 5: Solve for x
    x = 45,472,417,116.89/141,734.25
  6. Step 6: Final answer
    x = 320,828.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.