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Finding the Third Proportional to 169,857 and 335,431.13

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Solution

The third proportional to 169,857 and 335,431.13 is: 662,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,857 : 335,431.13 = 335,431.13 : x
  2. Step 2: Convert to fraction form
    169,857/335,431.13 = 335,431.13/x
  3. Step 3: Cross multiply
    169,857x = 335,431.13 × 335,431.13
  4. Step 4: Simplify right side
    169,857x = 112,514,039,618.77
  5. Step 5: Solve for x
    x = 112,514,039,618.77/169,857
  6. Step 6: Final answer
    x = 662,404.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.