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Finding the Third Proportional to 240,276 and 346,110

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Solution

The third proportional to 240,276 and 346,110 is: 498,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,276 : 346,110 = 346,110 : x
  2. Step 2: Convert to fraction form
    240,276/346,110 = 346,110/x
  3. Step 3: Cross multiply
    240,276x = 346,110 × 346,110
  4. Step 4: Simplify right side
    240,276x = 119,792,132,100
  5. Step 5: Solve for x
    x = 119,792,132,100/240,276
  6. Step 6: Final answer
    x = 498,560.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.