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Finding the Third Proportional to 177,261 and 266,021

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Solution

The third proportional to 177,261 and 266,021 is: 399,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,261 : 266,021 = 266,021 : x
  2. Step 2: Convert to fraction form
    177,261/266,021 = 266,021/x
  3. Step 3: Cross multiply
    177,261x = 266,021 × 266,021
  4. Step 4: Simplify right side
    177,261x = 70,767,172,441
  5. Step 5: Solve for x
    x = 70,767,172,441/177,261
  6. Step 6: Final answer
    x = 399,225.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.