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Finding the Third Proportional to 175,485.94 and 266,509.13

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Solution

The third proportional to 175,485.94 and 266,509.13 is: 404,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,485.94 : 266,509.13 = 266,509.13 : x
  2. Step 2: Convert to fraction form
    175,485.94/266,509.13 = 266,509.13/x
  3. Step 3: Cross multiply
    175,485.94x = 266,509.13 × 266,509.13
  4. Step 4: Simplify right side
    175,485.94x = 71,027,113,708.27
  5. Step 5: Solve for x
    x = 71,027,113,708.27/175,485.94
  6. Step 6: Final answer
    x = 404,745.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.