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Finding the Third Proportional to 103,726.50 and 226,302.50

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Solution

The third proportional to 103,726.50 and 226,302.50 is: 493,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,726.50 : 226,302.50 = 226,302.50 : x
  2. Step 2: Convert to fraction form
    103,726.50/226,302.50 = 226,302.50/x
  3. Step 3: Cross multiply
    103,726.50x = 226,302.50 × 226,302.50
  4. Step 4: Simplify right side
    103,726.50x = 51,212,821,506.25
  5. Step 5: Solve for x
    x = 51,212,821,506.25/103,726.50
  6. Step 6: Final answer
    x = 493,729.39

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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.