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Finding the Third Proportional to 158,738 and 255,219

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Solution

The third proportional to 158,738 and 255,219 is: 410,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,738 : 255,219 = 255,219 : x
  2. Step 2: Convert to fraction form
    158,738/255,219 = 255,219/x
  3. Step 3: Cross multiply
    158,738x = 255,219 × 255,219
  4. Step 4: Simplify right side
    158,738x = 65,136,737,961
  5. Step 5: Solve for x
    x = 65,136,737,961/158,738
  6. Step 6: Final answer
    x = 410,341.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.