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Finding the Third Proportional to 141,837.75 and 307,298.81

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Solution

The third proportional to 141,837.75 and 307,298.81 is: 665,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,837.75 : 307,298.81 = 307,298.81 : x
  2. Step 2: Convert to fraction form
    141,837.75/307,298.81 = 307,298.81/x
  3. Step 3: Cross multiply
    141,837.75x = 307,298.81 × 307,298.81
  4. Step 4: Simplify right side
    141,837.75x = 94,432,560,163.91
  5. Step 5: Solve for x
    x = 94,432,560,163.91/141,837.75
  6. Step 6: Final answer
    x = 665,778.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.