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Finding the Third Proportional to 108,310 and 225,287

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Solution

The third proportional to 108,310 and 225,287 is: 468,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,310 : 225,287 = 225,287 : x
  2. Step 2: Convert to fraction form
    108,310/225,287 = 225,287/x
  3. Step 3: Cross multiply
    108,310x = 225,287 × 225,287
  4. Step 4: Simplify right side
    108,310x = 50,754,232,369
  5. Step 5: Solve for x
    x = 50,754,232,369/108,310
  6. Step 6: Final answer
    x = 468,601.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.