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Finding the Third Proportional to 174,549.94 and 266,901.75

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Solution

The third proportional to 174,549.94 and 266,901.75 is: 408,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,549.94 : 266,901.75 = 266,901.75 : x
  2. Step 2: Convert to fraction form
    174,549.94/266,901.75 = 266,901.75/x
  3. Step 3: Cross multiply
    174,549.94x = 266,901.75 × 266,901.75
  4. Step 4: Simplify right side
    174,549.94x = 71,236,544,153.06
  5. Step 5: Solve for x
    x = 71,236,544,153.06/174,549.94
  6. Step 6: Final answer
    x = 408,115.55

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