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Finding the Third Proportional to 153,251 and 230,084

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Solution

The third proportional to 153,251 and 230,084 is: 345,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,251 : 230,084 = 230,084 : x
  2. Step 2: Convert to fraction form
    153,251/230,084 = 230,084/x
  3. Step 3: Cross multiply
    153,251x = 230,084 × 230,084
  4. Step 4: Simplify right side
    153,251x = 52,938,647,056
  5. Step 5: Solve for x
    x = 52,938,647,056/153,251
  6. Step 6: Final answer
    x = 345,437.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.