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Finding the Third Proportional to 172,024 and 404,754

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Solution

The third proportional to 172,024 and 404,754 is: 952,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,024 : 404,754 = 404,754 : x
  2. Step 2: Convert to fraction form
    172,024/404,754 = 404,754/x
  3. Step 3: Cross multiply
    172,024x = 404,754 × 404,754
  4. Step 4: Simplify right side
    172,024x = 163,825,800,516
  5. Step 5: Solve for x
    x = 163,825,800,516/172,024
  6. Step 6: Final answer
    x = 952,342.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.