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Finding the Third Proportional to 149,451 and 228,514.50

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Solution

The third proportional to 149,451 and 228,514.50 is: 349,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,451 : 228,514.50 = 228,514.50 : x
  2. Step 2: Convert to fraction form
    149,451/228,514.50 = 228,514.50/x
  3. Step 3: Cross multiply
    149,451x = 228,514.50 × 228,514.50
  4. Step 4: Simplify right side
    149,451x = 52,218,876,710.25
  5. Step 5: Solve for x
    x = 52,218,876,710.25/149,451
  6. Step 6: Final answer
    x = 349,404.67

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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.