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Finding the Third Proportional to 108,521 and 225,358

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Solution

The third proportional to 108,521 and 225,358 is: 467,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,521 : 225,358 = 225,358 : x
  2. Step 2: Convert to fraction form
    108,521/225,358 = 225,358/x
  3. Step 3: Cross multiply
    108,521x = 225,358 × 225,358
  4. Step 4: Simplify right side
    108,521x = 50,786,228,164
  5. Step 5: Solve for x
    x = 50,786,228,164/108,521
  6. Step 6: Final answer
    x = 467,985.26

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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.