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Finding the Third Proportional to 169,478 and 248,550

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Solution

The third proportional to 169,478 and 248,550 is: 364,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,478 : 248,550 = 248,550 : x
  2. Step 2: Convert to fraction form
    169,478/248,550 = 248,550/x
  3. Step 3: Cross multiply
    169,478x = 248,550 × 248,550
  4. Step 4: Simplify right side
    169,478x = 61,777,102,500
  5. Step 5: Solve for x
    x = 61,777,102,500/169,478
  6. Step 6: Final answer
    x = 364,513.99

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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.