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Finding the Third Proportional to 187,232 and 282,864

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Solution

The third proportional to 187,232 and 282,864 is: 427,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,232 : 282,864 = 282,864 : x
  2. Step 2: Convert to fraction form
    187,232/282,864 = 282,864/x
  3. Step 3: Cross multiply
    187,232x = 282,864 × 282,864
  4. Step 4: Simplify right side
    187,232x = 80,012,042,496
  5. Step 5: Solve for x
    x = 80,012,042,496/187,232
  6. Step 6: Final answer
    x = 427,341.71

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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.