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Finding the Third Proportional to 226,138.50 and 351,657

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Solution

The third proportional to 226,138.50 and 351,657 is: 546,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,138.50 : 351,657 = 351,657 : x
  2. Step 2: Convert to fraction form
    226,138.50/351,657 = 351,657/x
  3. Step 3: Cross multiply
    226,138.50x = 351,657 × 351,657
  4. Step 4: Simplify right side
    226,138.50x = 123,662,645,649
  5. Step 5: Solve for x
    x = 123,662,645,649/226,138.50
  6. Step 6: Final answer
    x = 546,844.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.