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Finding the Third Proportional to 97,204 and 152,286

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Solution

The third proportional to 97,204 and 152,286 is: 238,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,204 : 152,286 = 152,286 : x
  2. Step 2: Convert to fraction form
    97,204/152,286 = 152,286/x
  3. Step 3: Cross multiply
    97,204x = 152,286 × 152,286
  4. Step 4: Simplify right side
    97,204x = 23,191,025,796
  5. Step 5: Solve for x
    x = 23,191,025,796/97,204
  6. Step 6: Final answer
    x = 238,580.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.