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Finding the Third Proportional to 228,885.50 and 497,176

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Solution

The third proportional to 228,885.50 and 497,176 is: 1,079,945.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,885.50 : 497,176 = 497,176 : x
  2. Step 2: Convert to fraction form
    228,885.50/497,176 = 497,176/x
  3. Step 3: Cross multiply
    228,885.50x = 497,176 × 497,176
  4. Step 4: Simplify right side
    228,885.50x = 247,183,974,976
  5. Step 5: Solve for x
    x = 247,183,974,976/228,885.50
  6. Step 6: Final answer
    x = 1,079,945.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.