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Finding the Third Proportional to 174,570 and 266,930

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Solution

The third proportional to 174,570 and 266,930 is: 408,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,570 : 266,930 = 266,930 : x
  2. Step 2: Convert to fraction form
    174,570/266,930 = 266,930/x
  3. Step 3: Cross multiply
    174,570x = 266,930 × 266,930
  4. Step 4: Simplify right side
    174,570x = 71,251,624,900
  5. Step 5: Solve for x
    x = 71,251,624,900/174,570
  6. Step 6: Final answer
    x = 408,155.04

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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.