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Finding the Third Proportional to 149,385.94 and 228,622.50

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Solution

The third proportional to 149,385.94 and 228,622.50 is: 349,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,385.94 : 228,622.50 = 228,622.50 : x
  2. Step 2: Convert to fraction form
    149,385.94/228,622.50 = 228,622.50/x
  3. Step 3: Cross multiply
    149,385.94x = 228,622.50 × 228,622.50
  4. Step 4: Simplify right side
    149,385.94x = 52,268,247,506.25
  5. Step 5: Solve for x
    x = 52,268,247,506.25/149,385.94
  6. Step 6: Final answer
    x = 349,887.33

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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.