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Finding the Third Proportional to 149,666 and 228,819

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Solution

The third proportional to 149,666 and 228,819 is: 349,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,666 : 228,819 = 228,819 : x
  2. Step 2: Convert to fraction form
    149,666/228,819 = 228,819/x
  3. Step 3: Cross multiply
    149,666x = 228,819 × 228,819
  4. Step 4: Simplify right side
    149,666x = 52,358,134,761
  5. Step 5: Solve for x
    x = 52,358,134,761/149,666
  6. Step 6: Final answer
    x = 349,833.19

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