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Finding the Third Proportional to 240,384 and 348,174

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Solution

The third proportional to 240,384 and 348,174 is: 504,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,384 : 348,174 = 348,174 : x
  2. Step 2: Convert to fraction form
    240,384/348,174 = 348,174/x
  3. Step 3: Cross multiply
    240,384x = 348,174 × 348,174
  4. Step 4: Simplify right side
    240,384x = 121,225,134,276
  5. Step 5: Solve for x
    x = 121,225,134,276/240,384
  6. Step 6: Final answer
    x = 504,297.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.