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Finding the Third Proportional to 177,258 and 266,019

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Solution

The third proportional to 177,258 and 266,019 is: 399,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,258 : 266,019 = 266,019 : x
  2. Step 2: Convert to fraction form
    177,258/266,019 = 266,019/x
  3. Step 3: Cross multiply
    177,258x = 266,019 × 266,019
  4. Step 4: Simplify right side
    177,258x = 70,766,108,361
  5. Step 5: Solve for x
    x = 70,766,108,361/177,258
  6. Step 6: Final answer
    x = 399,226.60

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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.