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Finding the Third Proportional to 155,790 and 341,226

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Solution

The third proportional to 155,790 and 341,226 is: 747,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,790 : 341,226 = 341,226 : x
  2. Step 2: Convert to fraction form
    155,790/341,226 = 341,226/x
  3. Step 3: Cross multiply
    155,790x = 341,226 × 341,226
  4. Step 4: Simplify right side
    155,790x = 116,435,183,076
  5. Step 5: Solve for x
    x = 116,435,183,076/155,790
  6. Step 6: Final answer
    x = 747,385.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.