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Finding the Third Proportional to 174,553 and 266,906

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Solution

The third proportional to 174,553 and 266,906 is: 408,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,553 : 266,906 = 266,906 : x
  2. Step 2: Convert to fraction form
    174,553/266,906 = 266,906/x
  3. Step 3: Cross multiply
    174,553x = 266,906 × 266,906
  4. Step 4: Simplify right side
    174,553x = 71,238,812,836
  5. Step 5: Solve for x
    x = 71,238,812,836/174,553
  6. Step 6: Final answer
    x = 408,121.39

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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.