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Finding the Third Proportional to 169,993.50 and 250,029

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Solution

The third proportional to 169,993.50 and 250,029 is: 367,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,993.50 : 250,029 = 250,029 : x
  2. Step 2: Convert to fraction form
    169,993.50/250,029 = 250,029/x
  3. Step 3: Cross multiply
    169,993.50x = 250,029 × 250,029
  4. Step 4: Simplify right side
    169,993.50x = 62,514,500,841
  5. Step 5: Solve for x
    x = 62,514,500,841/169,993.50
  6. Step 6: Final answer
    x = 367,746.42

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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.