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Finding the Third Proportional to 151,795.50 and 226,461.75

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Solution

The third proportional to 151,795.50 and 226,461.75 is: 337,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,795.50 : 226,461.75 = 226,461.75 : x
  2. Step 2: Convert to fraction form
    151,795.50/226,461.75 = 226,461.75/x
  3. Step 3: Cross multiply
    151,795.50x = 226,461.75 × 226,461.75
  4. Step 4: Simplify right side
    151,795.50x = 51,284,924,213.06
  5. Step 5: Solve for x
    x = 51,284,924,213.06/151,795.50
  6. Step 6: Final answer
    x = 337,855.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.