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Finding the Third Proportional to 142,048.69 and 236,719.97

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Solution

The third proportional to 142,048.69 and 236,719.97 is: 394,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,048.69 : 236,719.97 = 236,719.97 : x
  2. Step 2: Convert to fraction form
    142,048.69/236,719.97 = 236,719.97/x
  3. Step 3: Cross multiply
    142,048.69x = 236,719.97 × 236,719.97
  4. Step 4: Simplify right side
    142,048.69x = 56,036,343,605.00
  5. Step 5: Solve for x
    x = 56,036,343,605.00/142,048.69
  6. Step 6: Final answer
    x = 394,486.88

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.