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Finding the Third Proportional to 213,293 and 319,615

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Solution

The third proportional to 213,293 and 319,615 is: 478,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,293 : 319,615 = 319,615 : x
  2. Step 2: Convert to fraction form
    213,293/319,615 = 319,615/x
  3. Step 3: Cross multiply
    213,293x = 319,615 × 319,615
  4. Step 4: Simplify right side
    213,293x = 102,153,748,225
  5. Step 5: Solve for x
    x = 102,153,748,225/213,293
  6. Step 6: Final answer
    x = 478,936.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.