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Finding the Third Proportional to 149,344 and 322,460

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Solution

The third proportional to 149,344 and 322,460 is: 696,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,344 : 322,460 = 322,460 : x
  2. Step 2: Convert to fraction form
    149,344/322,460 = 322,460/x
  3. Step 3: Cross multiply
    149,344x = 322,460 × 322,460
  4. Step 4: Simplify right side
    149,344x = 103,980,451,600
  5. Step 5: Solve for x
    x = 103,980,451,600/149,344
  6. Step 6: Final answer
    x = 696,247.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.