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Finding the Third Proportional to 170,015 and 250,321

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Solution

The third proportional to 170,015 and 250,321 is: 368,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,015 : 250,321 = 250,321 : x
  2. Step 2: Convert to fraction form
    170,015/250,321 = 250,321/x
  3. Step 3: Cross multiply
    170,015x = 250,321 × 250,321
  4. Step 4: Simplify right side
    170,015x = 62,660,603,041
  5. Step 5: Solve for x
    x = 62,660,603,041/170,015
  6. Step 6: Final answer
    x = 368,559.26

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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.