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Finding the Third Proportional to 146,502 and 248,751

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Solution

The third proportional to 146,502 and 248,751 is: 422,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,502 : 248,751 = 248,751 : x
  2. Step 2: Convert to fraction form
    146,502/248,751 = 248,751/x
  3. Step 3: Cross multiply
    146,502x = 248,751 × 248,751
  4. Step 4: Simplify right side
    146,502x = 61,877,060,001
  5. Step 5: Solve for x
    x = 61,877,060,001/146,502
  6. Step 6: Final answer
    x = 422,363.24

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.