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Finding the Third Proportional to 174,549.50 and 266,901

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Solution

The third proportional to 174,549.50 and 266,901 is: 408,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,549.50 : 266,901 = 266,901 : x
  2. Step 2: Convert to fraction form
    174,549.50/266,901 = 266,901/x
  3. Step 3: Cross multiply
    174,549.50x = 266,901 × 266,901
  4. Step 4: Simplify right side
    174,549.50x = 71,236,143,801
  5. Step 5: Solve for x
    x = 71,236,143,801/174,549.50
  6. Step 6: Final answer
    x = 408,114.28

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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.