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Finding the Third Proportional to 103,629 and 226,988

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Solution

The third proportional to 103,629 and 226,988 is: 497,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629 : 226,988 = 226,988 : x
  2. Step 2: Convert to fraction form
    103,629/226,988 = 226,988/x
  3. Step 3: Cross multiply
    103,629x = 226,988 × 226,988
  4. Step 4: Simplify right side
    103,629x = 51,523,552,144
  5. Step 5: Solve for x
    x = 51,523,552,144/103,629
  6. Step 6: Final answer
    x = 497,192.41

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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.