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Finding the Third Proportional to 170,174 and 250,344

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Solution

The third proportional to 170,174 and 250,344 is: 368,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,174 : 250,344 = 250,344 : x
  2. Step 2: Convert to fraction form
    170,174/250,344 = 250,344/x
  3. Step 3: Cross multiply
    170,174x = 250,344 × 250,344
  4. Step 4: Simplify right side
    170,174x = 62,672,118,336
  5. Step 5: Solve for x
    x = 62,672,118,336/170,174
  6. Step 6: Final answer
    x = 368,282.57

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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.