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Finding the Third Proportional to 98,685 and 150,485

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Solution

The third proportional to 98,685 and 150,485 is: 229,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,685 : 150,485 = 150,485 : x
  2. Step 2: Convert to fraction form
    98,685/150,485 = 150,485/x
  3. Step 3: Cross multiply
    98,685x = 150,485 × 150,485
  4. Step 4: Simplify right side
    98,685x = 22,645,735,225
  5. Step 5: Solve for x
    x = 22,645,735,225/98,685
  6. Step 6: Final answer
    x = 229,474.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.