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Finding the Third Proportional to 231,151.50 and 500,211

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Solution

The third proportional to 231,151.50 and 500,211 is: 1,082,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,151.50 : 500,211 = 500,211 : x
  2. Step 2: Convert to fraction form
    231,151.50/500,211 = 500,211/x
  3. Step 3: Cross multiply
    231,151.50x = 500,211 × 500,211
  4. Step 4: Simplify right side
    231,151.50x = 250,211,044,521
  5. Step 5: Solve for x
    x = 250,211,044,521/231,151.50
  6. Step 6: Final answer
    x = 1,082,454.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.