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Finding the Third Proportional to 143,229.52 and 302,143.92

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Solution

The third proportional to 143,229.52 and 302,143.92 is: 637,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,229.52 : 302,143.92 = 302,143.92 : x
  2. Step 2: Convert to fraction form
    143,229.52/302,143.92 = 302,143.92/x
  3. Step 3: Cross multiply
    143,229.52x = 302,143.92 × 302,143.92
  4. Step 4: Simplify right side
    143,229.52x = 91,290,949,526.01
  5. Step 5: Solve for x
    x = 91,290,949,526.01/143,229.52
  6. Step 6: Final answer
    x = 637,375.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.