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Finding the Third Proportional to 131,635.13 and 283,965.75

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Solution

The third proportional to 131,635.13 and 283,965.75 is: 612,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,635.13 : 283,965.75 = 283,965.75 : x
  2. Step 2: Convert to fraction form
    131,635.13/283,965.75 = 283,965.75/x
  3. Step 3: Cross multiply
    131,635.13x = 283,965.75 × 283,965.75
  4. Step 4: Simplify right side
    131,635.13x = 80,636,547,173.06
  5. Step 5: Solve for x
    x = 80,636,547,173.06/131,635.13
  6. Step 6: Final answer
    x = 612,576.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.