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Finding the Third Proportional to 104,097 and 231,486

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Solution

The third proportional to 104,097 and 231,486 is: 514,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,097 : 231,486 = 231,486 : x
  2. Step 2: Convert to fraction form
    104,097/231,486 = 231,486/x
  3. Step 3: Cross multiply
    104,097x = 231,486 × 231,486
  4. Step 4: Simplify right side
    104,097x = 53,585,768,196
  5. Step 5: Solve for x
    x = 53,585,768,196/104,097
  6. Step 6: Final answer
    x = 514,767.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.