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Finding the Third Proportional to 83,574 and 183,684

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Solution

The third proportional to 83,574 and 183,684 is: 403,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574 : 183,684 = 183,684 : x
  2. Step 2: Convert to fraction form
    83,574/183,684 = 183,684/x
  3. Step 3: Cross multiply
    83,574x = 183,684 × 183,684
  4. Step 4: Simplify right side
    83,574x = 33,739,811,856
  5. Step 5: Solve for x
    x = 33,739,811,856/83,574
  6. Step 6: Final answer
    x = 403,711.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.