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Finding the Third Proportional to 138,293 and 213,583

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Solution

The third proportional to 138,293 and 213,583 is: 329,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,293 : 213,583 = 213,583 : x
  2. Step 2: Convert to fraction form
    138,293/213,583 = 213,583/x
  3. Step 3: Cross multiply
    138,293x = 213,583 × 213,583
  4. Step 4: Simplify right side
    138,293x = 45,617,697,889
  5. Step 5: Solve for x
    x = 45,617,697,889/138,293
  6. Step 6: Final answer
    x = 329,862.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.