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Finding the Third Proportional to 169,700.63 and 251,616.38

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Solution

The third proportional to 169,700.63 and 251,616.38 is: 373,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,700.63 : 251,616.38 = 251,616.38 : x
  2. Step 2: Convert to fraction form
    169,700.63/251,616.38 = 251,616.38/x
  3. Step 3: Cross multiply
    169,700.63x = 251,616.38 × 251,616.38
  4. Step 4: Simplify right side
    169,700.63x = 63,310,800,168.14
  5. Step 5: Solve for x
    x = 63,310,800,168.14/169,700.63
  6. Step 6: Final answer
    x = 373,073.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.