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Finding the Third Proportional to 170,109 and 250,242

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Solution

The third proportional to 170,109 and 250,242 is: 368,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,109 : 250,242 = 250,242 : x
  2. Step 2: Convert to fraction form
    170,109/250,242 = 250,242/x
  3. Step 3: Cross multiply
    170,109x = 250,242 × 250,242
  4. Step 4: Simplify right side
    170,109x = 62,621,058,564
  5. Step 5: Solve for x
    x = 62,621,058,564/170,109
  6. Step 6: Final answer
    x = 368,123.14

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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.