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Finding the Third Proportional to 233,037 and 341,847

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Solution

The third proportional to 233,037 and 341,847 is: 501,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,037 : 341,847 = 341,847 : x
  2. Step 2: Convert to fraction form
    233,037/341,847 = 341,847/x
  3. Step 3: Cross multiply
    233,037x = 341,847 × 341,847
  4. Step 4: Simplify right side
    233,037x = 116,859,371,409
  5. Step 5: Solve for x
    x = 116,859,371,409/233,037
  6. Step 6: Final answer
    x = 501,462.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.