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Finding the Third Proportional to 187,266 and 409,565

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Solution

The third proportional to 187,266 and 409,565 is: 895,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,266 : 409,565 = 409,565 : x
  2. Step 2: Convert to fraction form
    187,266/409,565 = 409,565/x
  3. Step 3: Cross multiply
    187,266x = 409,565 × 409,565
  4. Step 4: Simplify right side
    187,266x = 167,743,489,225
  5. Step 5: Solve for x
    x = 167,743,489,225/187,266
  6. Step 6: Final answer
    x = 895,749.84

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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.