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Finding the Third Proportional to 97,728 and 209,280

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Solution

The third proportional to 97,728 and 209,280 is: 448,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,728 : 209,280 = 209,280 : x
  2. Step 2: Convert to fraction form
    97,728/209,280 = 209,280/x
  3. Step 3: Cross multiply
    97,728x = 209,280 × 209,280
  4. Step 4: Simplify right side
    97,728x = 43,798,118,400
  5. Step 5: Solve for x
    x = 43,798,118,400/97,728
  6. Step 6: Final answer
    x = 448,163.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.