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Finding the Third Proportional to 117,281.75 and 255,613.38

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Solution

The third proportional to 117,281.75 and 255,613.38 is: 557,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,281.75 : 255,613.38 = 255,613.38 : x
  2. Step 2: Convert to fraction form
    117,281.75/255,613.38 = 255,613.38/x
  3. Step 3: Cross multiply
    117,281.75x = 255,613.38 × 255,613.38
  4. Step 4: Simplify right side
    117,281.75x = 65,338,197,478.89
  5. Step 5: Solve for x
    x = 65,338,197,478.89/117,281.75
  6. Step 6: Final answer
    x = 557,104.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.