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Finding the Third Proportional to 103,752 and 226,350

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Solution

The third proportional to 103,752 and 226,350 is: 493,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,752 : 226,350 = 226,350 : x
  2. Step 2: Convert to fraction form
    103,752/226,350 = 226,350/x
  3. Step 3: Cross multiply
    103,752x = 226,350 × 226,350
  4. Step 4: Simplify right side
    103,752x = 51,234,322,500
  5. Step 5: Solve for x
    x = 51,234,322,500/103,752
  6. Step 6: Final answer
    x = 493,815.28

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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.