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Finding the Third Proportional to 83,578 and 183,692

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Solution

The third proportional to 83,578 and 183,692 is: 403,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,578 : 183,692 = 183,692 : x
  2. Step 2: Convert to fraction form
    83,578/183,692 = 183,692/x
  3. Step 3: Cross multiply
    83,578x = 183,692 × 183,692
  4. Step 4: Simplify right side
    83,578x = 33,742,750,864
  5. Step 5: Solve for x
    x = 33,742,750,864/83,578
  6. Step 6: Final answer
    x = 403,727.67

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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.