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Finding the Third Proportional to 150,057.14 and 228,895.88

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Solution

The third proportional to 150,057.14 and 228,895.88 is: 349,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,057.14 : 228,895.88 = 228,895.88 : x
  2. Step 2: Convert to fraction form
    150,057.14/228,895.88 = 228,895.88/x
  3. Step 3: Cross multiply
    150,057.14x = 228,895.88 × 228,895.88
  4. Step 4: Simplify right side
    150,057.14x = 52,393,321,592.02
  5. Step 5: Solve for x
    x = 52,393,321,592.02/150,057.14
  6. Step 6: Final answer
    x = 349,155.80

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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.