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Finding the Third Proportional to 116,518.69 and 255,268.88

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Solution

The third proportional to 116,518.69 and 255,268.88 is: 559,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,518.69 : 255,268.88 = 255,268.88 : x
  2. Step 2: Convert to fraction form
    116,518.69/255,268.88 = 255,268.88/x
  3. Step 3: Cross multiply
    116,518.69x = 255,268.88 × 255,268.88
  4. Step 4: Simplify right side
    116,518.69x = 65,162,198,543.77
  5. Step 5: Solve for x
    x = 65,162,198,543.77/116,518.69
  6. Step 6: Final answer
    x = 559,242.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.