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Finding the Third Proportional to 108,477 and 236,232

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Solution

The third proportional to 108,477 and 236,232 is: 514,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,477 : 236,232 = 236,232 : x
  2. Step 2: Convert to fraction form
    108,477/236,232 = 236,232/x
  3. Step 3: Cross multiply
    108,477x = 236,232 × 236,232
  4. Step 4: Simplify right side
    108,477x = 55,805,557,824
  5. Step 5: Solve for x
    x = 55,805,557,824/108,477
  6. Step 6: Final answer
    x = 514,445.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.