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Finding the Third Proportional to 240,848 and 367,558

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Solution

The third proportional to 240,848 and 367,558 is: 560,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,848 : 367,558 = 367,558 : x
  2. Step 2: Convert to fraction form
    240,848/367,558 = 367,558/x
  3. Step 3: Cross multiply
    240,848x = 367,558 × 367,558
  4. Step 4: Simplify right side
    240,848x = 135,098,883,364
  5. Step 5: Solve for x
    x = 135,098,883,364/240,848
  6. Step 6: Final answer
    x = 560,930.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.