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Finding the Third Proportional to 69,498 and 149,804

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Solution

The third proportional to 69,498 and 149,804 is: 322,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,498 : 149,804 = 149,804 : x
  2. Step 2: Convert to fraction form
    69,498/149,804 = 149,804/x
  3. Step 3: Cross multiply
    69,498x = 149,804 × 149,804
  4. Step 4: Simplify right side
    69,498x = 22,441,238,416
  5. Step 5: Solve for x
    x = 22,441,238,416/69,498
  6. Step 6: Final answer
    x = 322,904.81

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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.