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Finding the Third Proportional to 160,106 and 251,149

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Solution

The third proportional to 160,106 and 251,149 is: 393,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,106 : 251,149 = 251,149 : x
  2. Step 2: Convert to fraction form
    160,106/251,149 = 251,149/x
  3. Step 3: Cross multiply
    160,106x = 251,149 × 251,149
  4. Step 4: Simplify right side
    160,106x = 63,075,820,201
  5. Step 5: Solve for x
    x = 63,075,820,201/160,106
  6. Step 6: Final answer
    x = 393,962.88

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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.