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Finding the Third Proportional to 150,060.38 and 228,843.75

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Solution

The third proportional to 150,060.38 and 228,843.75 is: 348,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,060.38 : 228,843.75 = 228,843.75 : x
  2. Step 2: Convert to fraction form
    150,060.38/228,843.75 = 228,843.75/x
  3. Step 3: Cross multiply
    150,060.38x = 228,843.75 × 228,843.75
  4. Step 4: Simplify right side
    150,060.38x = 52,369,461,914.06
  5. Step 5: Solve for x
    x = 52,369,461,914.06/150,060.38
  6. Step 6: Final answer
    x = 348,989.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.