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Finding the Third Proportional to 228,915 and 354,874.50

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Solution

The third proportional to 228,915 and 354,874.50 is: 550,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,915 : 354,874.50 = 354,874.50 : x
  2. Step 2: Convert to fraction form
    228,915/354,874.50 = 354,874.50/x
  3. Step 3: Cross multiply
    228,915x = 354,874.50 × 354,874.50
  4. Step 4: Simplify right side
    228,915x = 125,935,910,750.25
  5. Step 5: Solve for x
    x = 125,935,910,750.25/228,915
  6. Step 6: Final answer
    x = 550,142.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.