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Finding the Third Proportional to 168,552 and 364,097

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Solution

The third proportional to 168,552 and 364,097 is: 786,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,552 : 364,097 = 364,097 : x
  2. Step 2: Convert to fraction form
    168,552/364,097 = 364,097/x
  3. Step 3: Cross multiply
    168,552x = 364,097 × 364,097
  4. Step 4: Simplify right side
    168,552x = 132,566,625,409
  5. Step 5: Solve for x
    x = 132,566,625,409/168,552
  6. Step 6: Final answer
    x = 786,502.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.