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Finding the Third Proportional to 149,296.50 and 228,282.75

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Solution

The third proportional to 149,296.50 and 228,282.75 is: 349,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,296.50 : 228,282.75 = 228,282.75 : x
  2. Step 2: Convert to fraction form
    149,296.50/228,282.75 = 228,282.75/x
  3. Step 3: Cross multiply
    149,296.50x = 228,282.75 × 228,282.75
  4. Step 4: Simplify right side
    149,296.50x = 52,113,013,947.56
  5. Step 5: Solve for x
    x = 52,113,013,947.56/149,296.50
  6. Step 6: Final answer
    x = 349,057.17

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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.