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Finding the Third Proportional to 97,283 and 209,576

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Solution

The third proportional to 97,283 and 209,576 is: 451,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,283 : 209,576 = 209,576 : x
  2. Step 2: Convert to fraction form
    97,283/209,576 = 209,576/x
  3. Step 3: Cross multiply
    97,283x = 209,576 × 209,576
  4. Step 4: Simplify right side
    97,283x = 43,922,099,776
  5. Step 5: Solve for x
    x = 43,922,099,776/97,283
  6. Step 6: Final answer
    x = 451,487.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.