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Finding the Third Proportional to 108,303 and 225,273

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Solution

The third proportional to 108,303 and 225,273 is: 468,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,303 : 225,273 = 225,273 : x
  2. Step 2: Convert to fraction form
    108,303/225,273 = 225,273/x
  3. Step 3: Cross multiply
    108,303x = 225,273 × 225,273
  4. Step 4: Simplify right side
    108,303x = 50,747,924,529
  5. Step 5: Solve for x
    x = 50,747,924,529/108,303
  6. Step 6: Final answer
    x = 468,573.58

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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.