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Finding the Third Proportional to 86,540 and 186,472

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Solution

The third proportional to 86,540 and 186,472 is: 401,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,540 : 186,472 = 186,472 : x
  2. Step 2: Convert to fraction form
    86,540/186,472 = 186,472/x
  3. Step 3: Cross multiply
    86,540x = 186,472 × 186,472
  4. Step 4: Simplify right side
    86,540x = 34,771,806,784
  5. Step 5: Solve for x
    x = 34,771,806,784/86,540
  6. Step 6: Final answer
    x = 401,800.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.