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Finding the Third Proportional to 149,442 and 322,497

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Solution

The third proportional to 149,442 and 322,497 is: 695,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,442 : 322,497 = 322,497 : x
  2. Step 2: Convert to fraction form
    149,442/322,497 = 322,497/x
  3. Step 3: Cross multiply
    149,442x = 322,497 × 322,497
  4. Step 4: Simplify right side
    149,442x = 104,004,315,009
  5. Step 5: Solve for x
    x = 104,004,315,009/149,442
  6. Step 6: Final answer
    x = 695,951.04

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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.