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Finding the Third Proportional to 146,362 and 225,951

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Solution

The third proportional to 146,362 and 225,951 is: 348,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,362 : 225,951 = 225,951 : x
  2. Step 2: Convert to fraction form
    146,362/225,951 = 225,951/x
  3. Step 3: Cross multiply
    146,362x = 225,951 × 225,951
  4. Step 4: Simplify right side
    146,362x = 51,053,854,401
  5. Step 5: Solve for x
    x = 51,053,854,401/146,362
  6. Step 6: Final answer
    x = 348,819.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.