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Finding the Third Proportional to 103,634 and 226,996

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Solution

The third proportional to 103,634 and 226,996 is: 497,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 226,996 = 226,996 : x
  2. Step 2: Convert to fraction form
    103,634/226,996 = 226,996/x
  3. Step 3: Cross multiply
    103,634x = 226,996 × 226,996
  4. Step 4: Simplify right side
    103,634x = 51,527,184,016
  5. Step 5: Solve for x
    x = 51,527,184,016/103,634
  6. Step 6: Final answer
    x = 497,203.47

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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.