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Finding the Third Proportional to 185,841.84 and 268,302.38

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Solution

The third proportional to 185,841.84 and 268,302.38 is: 387,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,841.84 : 268,302.38 = 268,302.38 : x
  2. Step 2: Convert to fraction form
    185,841.84/268,302.38 = 268,302.38/x
  3. Step 3: Cross multiply
    185,841.84x = 268,302.38 × 268,302.38
  4. Step 4: Simplify right side
    185,841.84x = 71,986,164,430.64
  5. Step 5: Solve for x
    x = 71,986,164,430.64/185,841.84
  6. Step 6: Final answer
    x = 387,351.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.