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Finding the Third Proportional to 150,064.50 and 228,909

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Solution

The third proportional to 150,064.50 and 228,909 is: 349,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,064.50 : 228,909 = 228,909 : x
  2. Step 2: Convert to fraction form
    150,064.50/228,909 = 228,909/x
  3. Step 3: Cross multiply
    150,064.50x = 228,909 × 228,909
  4. Step 4: Simplify right side
    150,064.50x = 52,399,330,281
  5. Step 5: Solve for x
    x = 52,399,330,281/150,064.50
  6. Step 6: Final answer
    x = 349,178.72

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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.