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Finding the Third Proportional to 174,226.22 and 266,337.84

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Solution

The third proportional to 174,226.22 and 266,337.84 is: 407,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,226.22 : 266,337.84 = 266,337.84 : x
  2. Step 2: Convert to fraction form
    174,226.22/266,337.84 = 266,337.84/x
  3. Step 3: Cross multiply
    174,226.22x = 266,337.84 × 266,337.84
  4. Step 4: Simplify right side
    174,226.22x = 70,935,847,013.40
  5. Step 5: Solve for x
    x = 70,935,847,013.40/174,226.22
  6. Step 6: Final answer
    x = 407,147.95

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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.