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Finding the Third Proportional to 177,265 and 266,022

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Solution

The third proportional to 177,265 and 266,022 is: 399,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,265 : 266,022 = 266,022 : x
  2. Step 2: Convert to fraction form
    177,265/266,022 = 266,022/x
  3. Step 3: Cross multiply
    177,265x = 266,022 × 266,022
  4. Step 4: Simplify right side
    177,265x = 70,767,704,484
  5. Step 5: Solve for x
    x = 70,767,704,484/177,265
  6. Step 6: Final answer
    x = 399,219.84

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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.