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Finding the Third Proportional to 149,466 and 322,548

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Solution

The third proportional to 149,466 and 322,548 is: 696,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,466 : 322,548 = 322,548 : x
  2. Step 2: Convert to fraction form
    149,466/322,548 = 322,548/x
  3. Step 3: Cross multiply
    149,466x = 322,548 × 322,548
  4. Step 4: Simplify right side
    149,466x = 104,037,212,304
  5. Step 5: Solve for x
    x = 104,037,212,304/149,466
  6. Step 6: Final answer
    x = 696,059.39

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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.