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Finding the Third Proportional to 174,552.56 and 266,901.56

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Solution

The third proportional to 174,552.56 and 266,901.56 is: 408,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,552.56 : 266,901.56 = 266,901.56 : x
  2. Step 2: Convert to fraction form
    174,552.56/266,901.56 = 266,901.56/x
  3. Step 3: Cross multiply
    174,552.56x = 266,901.56 × 266,901.56
  4. Step 4: Simplify right side
    174,552.56x = 71,236,444,064.94
  5. Step 5: Solve for x
    x = 71,236,444,064.94/174,552.56
  6. Step 6: Final answer
    x = 408,108.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.