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Finding the Third Proportional to 187,284 and 273,918

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Solution

The third proportional to 187,284 and 273,918 is: 400,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,284 : 273,918 = 273,918 : x
  2. Step 2: Convert to fraction form
    187,284/273,918 = 273,918/x
  3. Step 3: Cross multiply
    187,284x = 273,918 × 273,918
  4. Step 4: Simplify right side
    187,284x = 75,031,070,724
  5. Step 5: Solve for x
    x = 75,031,070,724/187,284
  6. Step 6: Final answer
    x = 400,627.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.