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Finding the Third Proportional to 177,263.44 and 266,019.19

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Solution

The third proportional to 177,263.44 and 266,019.19 is: 399,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,263.44 : 266,019.19 = 266,019.19 : x
  2. Step 2: Convert to fraction form
    177,263.44/266,019.19 = 266,019.19/x
  3. Step 3: Cross multiply
    177,263.44x = 266,019.19 × 266,019.19
  4. Step 4: Simplify right side
    177,263.44x = 70,766,208,118.16
  5. Step 5: Solve for x
    x = 70,766,208,118.16/177,263.44
  6. Step 6: Final answer
    x = 399,214.91

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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.