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Finding the Third Proportional to 174,555 and 266,907.66

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Solution

The third proportional to 174,555 and 266,907.66 is: 408,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,555 : 266,907.66 = 266,907.66 : x
  2. Step 2: Convert to fraction form
    174,555/266,907.66 = 266,907.66/x
  3. Step 3: Cross multiply
    174,555x = 266,907.66 × 266,907.66
  4. Step 4: Simplify right side
    174,555x = 71,239,696,964.87
  5. Step 5: Solve for x
    x = 71,239,696,964.87/174,555
  6. Step 6: Final answer
    x = 408,121.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.