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Finding the Third Proportional to 216,123 and 347,251.50

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Solution

The third proportional to 216,123 and 347,251.50 is: 557,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,123 : 347,251.50 = 347,251.50 : x
  2. Step 2: Convert to fraction form
    216,123/347,251.50 = 347,251.50/x
  3. Step 3: Cross multiply
    216,123x = 347,251.50 × 347,251.50
  4. Step 4: Simplify right side
    216,123x = 120,583,604,252.25
  5. Step 5: Solve for x
    x = 120,583,604,252.25/216,123
  6. Step 6: Final answer
    x = 557,939.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.