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Finding the Third Proportional to 187,823 and 410,151

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Solution

The third proportional to 187,823 and 410,151 is: 895,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,823 : 410,151 = 410,151 : x
  2. Step 2: Convert to fraction form
    187,823/410,151 = 410,151/x
  3. Step 3: Cross multiply
    187,823x = 410,151 × 410,151
  4. Step 4: Simplify right side
    187,823x = 168,223,842,801
  5. Step 5: Solve for x
    x = 168,223,842,801/187,823
  6. Step 6: Final answer
    x = 895,650.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.