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Finding the Third Proportional to 116,230 and 248,327

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Solution

The third proportional to 116,230 and 248,327 is: 530,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,230 : 248,327 = 248,327 : x
  2. Step 2: Convert to fraction form
    116,230/248,327 = 248,327/x
  3. Step 3: Cross multiply
    116,230x = 248,327 × 248,327
  4. Step 4: Simplify right side
    116,230x = 61,666,298,929
  5. Step 5: Solve for x
    x = 61,666,298,929/116,230
  6. Step 6: Final answer
    x = 530,554.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.