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Finding the Third Proportional to 187,125 and 402,269

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Solution

The third proportional to 187,125 and 402,269 is: 864,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,125 : 402,269 = 402,269 : x
  2. Step 2: Convert to fraction form
    187,125/402,269 = 402,269/x
  3. Step 3: Cross multiply
    187,125x = 402,269 × 402,269
  4. Step 4: Simplify right side
    187,125x = 161,820,348,361
  5. Step 5: Solve for x
    x = 161,820,348,361/187,125
  6. Step 6: Final answer
    x = 864,771.40

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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.