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Finding the Third Proportional to 149,617.13 and 228,899.67

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Solution

The third proportional to 149,617.13 and 228,899.67 is: 350,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,617.13 : 228,899.67 = 228,899.67 : x
  2. Step 2: Convert to fraction form
    149,617.13/228,899.67 = 228,899.67/x
  3. Step 3: Cross multiply
    149,617.13x = 228,899.67 × 228,899.67
  4. Step 4: Simplify right side
    149,617.13x = 52,395,059,784.48
  5. Step 5: Solve for x
    x = 52,395,059,784.48/149,617.13
  6. Step 6: Final answer
    x = 350,194.27

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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.