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Finding the Third Proportional to 155,037 and 341,502

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Solution

The third proportional to 155,037 and 341,502 is: 752,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,037 : 341,502 = 341,502 : x
  2. Step 2: Convert to fraction form
    155,037/341,502 = 341,502/x
  3. Step 3: Cross multiply
    155,037x = 341,502 × 341,502
  4. Step 4: Simplify right side
    155,037x = 116,623,616,004
  5. Step 5: Solve for x
    x = 116,623,616,004/155,037
  6. Step 6: Final answer
    x = 752,230.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.