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Finding the Third Proportional to 142,851.75 and 218,857.50

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Solution

The third proportional to 142,851.75 and 218,857.50 is: 335,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,851.75 : 218,857.50 = 218,857.50 : x
  2. Step 2: Convert to fraction form
    142,851.75/218,857.50 = 218,857.50/x
  3. Step 3: Cross multiply
    142,851.75x = 218,857.50 × 218,857.50
  4. Step 4: Simplify right side
    142,851.75x = 47,898,605,306.25
  5. Step 5: Solve for x
    x = 47,898,605,306.25/142,851.75
  6. Step 6: Final answer
    x = 335,302.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.