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Finding the Third Proportional to 92,297 and 217,314

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Solution

The third proportional to 92,297 and 217,314 is: 511,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,297 : 217,314 = 217,314 : x
  2. Step 2: Convert to fraction form
    92,297/217,314 = 217,314/x
  3. Step 3: Cross multiply
    92,297x = 217,314 × 217,314
  4. Step 4: Simplify right side
    92,297x = 47,225,374,596
  5. Step 5: Solve for x
    x = 47,225,374,596/92,297
  6. Step 6: Final answer
    x = 511,667.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.