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Finding the Third Proportional to 160,848 and 266,544

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Solution

The third proportional to 160,848 and 266,544 is: 441,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,848 : 266,544 = 266,544 : x
  2. Step 2: Convert to fraction form
    160,848/266,544 = 266,544/x
  3. Step 3: Cross multiply
    160,848x = 266,544 × 266,544
  4. Step 4: Simplify right side
    160,848x = 71,045,703,936
  5. Step 5: Solve for x
    x = 71,045,703,936/160,848
  6. Step 6: Final answer
    x = 441,694.67

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.