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Finding the Third Proportional to 116,468 and 248,188

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Solution

The third proportional to 116,468 and 248,188 is: 528,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,468 : 248,188 = 248,188 : x
  2. Step 2: Convert to fraction form
    116,468/248,188 = 248,188/x
  3. Step 3: Cross multiply
    116,468x = 248,188 × 248,188
  4. Step 4: Simplify right side
    116,468x = 61,597,283,344
  5. Step 5: Solve for x
    x = 61,597,283,344/116,468
  6. Step 6: Final answer
    x = 528,877.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.