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Finding the Third Proportional to 162,608 and 255,418

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Solution

The third proportional to 162,608 and 255,418 is: 401,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,608 : 255,418 = 255,418 : x
  2. Step 2: Convert to fraction form
    162,608/255,418 = 255,418/x
  3. Step 3: Cross multiply
    162,608x = 255,418 × 255,418
  4. Step 4: Simplify right side
    162,608x = 65,238,354,724
  5. Step 5: Solve for x
    x = 65,238,354,724/162,608
  6. Step 6: Final answer
    x = 401,200.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.