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Finding the Third Proportional to 187,248 and 410,592

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Solution

The third proportional to 187,248 and 410,592 is: 900,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,248 : 410,592 = 410,592 : x
  2. Step 2: Convert to fraction form
    187,248/410,592 = 410,592/x
  3. Step 3: Cross multiply
    187,248x = 410,592 × 410,592
  4. Step 4: Simplify right side
    187,248x = 168,585,790,464
  5. Step 5: Solve for x
    x = 168,585,790,464/187,248
  6. Step 6: Final answer
    x = 900,334.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.