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Finding the Third Proportional to 103,725 and 226,301

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Solution

The third proportional to 103,725 and 226,301 is: 493,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,725 : 226,301 = 226,301 : x
  2. Step 2: Convert to fraction form
    103,725/226,301 = 226,301/x
  3. Step 3: Cross multiply
    103,725x = 226,301 × 226,301
  4. Step 4: Simplify right side
    103,725x = 51,212,142,601
  5. Step 5: Solve for x
    x = 51,212,142,601/103,725
  6. Step 6: Final answer
    x = 493,729.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.