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Finding the Third Proportional to 103,620 and 226,968

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Solution

The third proportional to 103,620 and 226,968 is: 497,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,620 : 226,968 = 226,968 : x
  2. Step 2: Convert to fraction form
    103,620/226,968 = 226,968/x
  3. Step 3: Cross multiply
    103,620x = 226,968 × 226,968
  4. Step 4: Simplify right side
    103,620x = 51,514,473,024
  5. Step 5: Solve for x
    x = 51,514,473,024/103,620
  6. Step 6: Final answer
    x = 497,147.97

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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.