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Finding the Third Proportional to 141,907 and 218,186

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Solution

The third proportional to 141,907 and 218,186 is: 335,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,907 : 218,186 = 218,186 : x
  2. Step 2: Convert to fraction form
    141,907/218,186 = 218,186/x
  3. Step 3: Cross multiply
    141,907x = 218,186 × 218,186
  4. Step 4: Simplify right side
    141,907x = 47,605,130,596
  5. Step 5: Solve for x
    x = 47,605,130,596/141,907
  6. Step 6: Final answer
    x = 335,467.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.