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Finding the Third Proportional to 149,499 and 228,919.50

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Solution

The third proportional to 149,499 and 228,919.50 is: 350,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,499 : 228,919.50 = 228,919.50 : x
  2. Step 2: Convert to fraction form
    149,499/228,919.50 = 228,919.50/x
  3. Step 3: Cross multiply
    149,499x = 228,919.50 × 228,919.50
  4. Step 4: Simplify right side
    149,499x = 52,404,137,480.25
  5. Step 5: Solve for x
    x = 52,404,137,480.25/149,499
  6. Step 6: Final answer
    x = 350,531.69

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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.