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Finding the Third Proportional to 187,768 and 283,248

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Solution

The third proportional to 187,768 and 283,248 is: 427,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,768 : 283,248 = 283,248 : x
  2. Step 2: Convert to fraction form
    187,768/283,248 = 283,248/x
  3. Step 3: Cross multiply
    187,768x = 283,248 × 283,248
  4. Step 4: Simplify right side
    187,768x = 80,229,429,504
  5. Step 5: Solve for x
    x = 80,229,429,504/187,768
  6. Step 6: Final answer
    x = 427,279.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.