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Finding the Third Proportional to 149,639 and 323,017

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Solution

The third proportional to 149,639 and 323,017 is: 697,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,639 : 323,017 = 323,017 : x
  2. Step 2: Convert to fraction form
    149,639/323,017 = 323,017/x
  3. Step 3: Cross multiply
    149,639x = 323,017 × 323,017
  4. Step 4: Simplify right side
    149,639x = 104,339,982,289
  5. Step 5: Solve for x
    x = 104,339,982,289/149,639
  6. Step 6: Final answer
    x = 697,278.00

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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.