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Finding the Third Proportional to 177,247.50 and 266,001

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Solution

The third proportional to 177,247.50 and 266,001 is: 399,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,247.50 : 266,001 = 266,001 : x
  2. Step 2: Convert to fraction form
    177,247.50/266,001 = 266,001/x
  3. Step 3: Cross multiply
    177,247.50x = 266,001 × 266,001
  4. Step 4: Simplify right side
    177,247.50x = 70,756,532,001
  5. Step 5: Solve for x
    x = 70,756,532,001/177,247.50
  6. Step 6: Final answer
    x = 399,196.22

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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.