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Finding the Third Proportional to 162,391 and 255,098

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Solution

The third proportional to 162,391 and 255,098 is: 400,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,391 : 255,098 = 255,098 : x
  2. Step 2: Convert to fraction form
    162,391/255,098 = 255,098/x
  3. Step 3: Cross multiply
    162,391x = 255,098 × 255,098
  4. Step 4: Simplify right side
    162,391x = 65,074,989,604
  5. Step 5: Solve for x
    x = 65,074,989,604/162,391
  6. Step 6: Final answer
    x = 400,730.27

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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.