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Finding the Third Proportional to 147,327.19 and 228,204.42

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Solution

The third proportional to 147,327.19 and 228,204.42 is: 353,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,327.19 : 228,204.42 = 228,204.42 : x
  2. Step 2: Convert to fraction form
    147,327.19/228,204.42 = 228,204.42/x
  3. Step 3: Cross multiply
    147,327.19x = 228,204.42 × 228,204.42
  4. Step 4: Simplify right side
    147,327.19x = 52,077,258,163.30
  5. Step 5: Solve for x
    x = 52,077,258,163.30/147,327.19
  6. Step 6: Final answer
    x = 353,480.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.