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Finding the Third Proportional to 153,288 and 239,245

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Solution

The third proportional to 153,288 and 239,245 is: 373,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,288 : 239,245 = 239,245 : x
  2. Step 2: Convert to fraction form
    153,288/239,245 = 239,245/x
  3. Step 3: Cross multiply
    153,288x = 239,245 × 239,245
  4. Step 4: Simplify right side
    153,288x = 57,238,170,025
  5. Step 5: Solve for x
    x = 57,238,170,025/153,288
  6. Step 6: Final answer
    x = 373,402.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.