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Finding the Third Proportional to 151,807.50 and 226,887.75

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Solution

The third proportional to 151,807.50 and 226,887.75 is: 339,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,807.50 : 226,887.75 = 226,887.75 : x
  2. Step 2: Convert to fraction form
    151,807.50/226,887.75 = 226,887.75/x
  3. Step 3: Cross multiply
    151,807.50x = 226,887.75 × 226,887.75
  4. Step 4: Simplify right side
    151,807.50x = 51,478,051,100.06
  5. Step 5: Solve for x
    x = 51,478,051,100.06/151,807.50
  6. Step 6: Final answer
    x = 339,100.84

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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.