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Finding the Third Proportional to 187,806 and 291,257

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Solution

The third proportional to 187,806 and 291,257 is: 451,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,806 : 291,257 = 291,257 : x
  2. Step 2: Convert to fraction form
    187,806/291,257 = 291,257/x
  3. Step 3: Cross multiply
    187,806x = 291,257 × 291,257
  4. Step 4: Simplify right side
    187,806x = 84,830,640,049
  5. Step 5: Solve for x
    x = 84,830,640,049/187,806
  6. Step 6: Final answer
    x = 451,692.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.