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Finding the Third Proportional to 143,729.25 and 302,353.13

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Solution

The third proportional to 143,729.25 and 302,353.13 is: 636,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,729.25 : 302,353.13 = 302,353.13 : x
  2. Step 2: Convert to fraction form
    143,729.25/302,353.13 = 302,353.13/x
  3. Step 3: Cross multiply
    143,729.25x = 302,353.13 × 302,353.13
  4. Step 4: Simplify right side
    143,729.25x = 91,417,412,197.27
  5. Step 5: Solve for x
    x = 91,417,412,197.27/143,729.25
  6. Step 6: Final answer
    x = 636,039.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.