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Finding the Third Proportional to 169,457 and 248,521

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Solution

The third proportional to 169,457 and 248,521 is: 364,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,457 : 248,521 = 248,521 : x
  2. Step 2: Convert to fraction form
    169,457/248,521 = 248,521/x
  3. Step 3: Cross multiply
    169,457x = 248,521 × 248,521
  4. Step 4: Simplify right side
    169,457x = 61,762,687,441
  5. Step 5: Solve for x
    x = 61,762,687,441/169,457
  6. Step 6: Final answer
    x = 364,474.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.