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Finding the Third Proportional to 114,055.50 and 266,508.75

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Solution

The third proportional to 114,055.50 and 266,508.75 is: 622,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,055.50 : 266,508.75 = 266,508.75 : x
  2. Step 2: Convert to fraction form
    114,055.50/266,508.75 = 266,508.75/x
  3. Step 3: Cross multiply
    114,055.50x = 266,508.75 × 266,508.75
  4. Step 4: Simplify right side
    114,055.50x = 71,026,913,826.56
  5. Step 5: Solve for x
    x = 71,026,913,826.56/114,055.50
  6. Step 6: Final answer
    x = 622,739.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.