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Finding the Third Proportional to 143,707.88 and 302,298.75

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Solution

The third proportional to 143,707.88 and 302,298.75 is: 635,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,707.88 : 302,298.75 = 302,298.75 : x
  2. Step 2: Convert to fraction form
    143,707.88/302,298.75 = 302,298.75/x
  3. Step 3: Cross multiply
    143,707.88x = 302,298.75 × 302,298.75
  4. Step 4: Simplify right side
    143,707.88x = 91,384,534,251.56
  5. Step 5: Solve for x
    x = 91,384,534,251.56/143,707.88
  6. Step 6: Final answer
    x = 635,904.85

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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.