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Finding the Third Proportional to 155,981 and 341,648

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Solution

The third proportional to 155,981 and 341,648 is: 748,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,981 : 341,648 = 341,648 : x
  2. Step 2: Convert to fraction form
    155,981/341,648 = 341,648/x
  3. Step 3: Cross multiply
    155,981x = 341,648 × 341,648
  4. Step 4: Simplify right side
    155,981x = 116,723,355,904
  5. Step 5: Solve for x
    x = 116,723,355,904/155,981
  6. Step 6: Final answer
    x = 748,317.78

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