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Finding the Third Proportional to 76,464 and 165,231

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Solution

The third proportional to 76,464 and 165,231 is: 357,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 165,231 = 165,231 : x
  2. Step 2: Convert to fraction form
    76,464/165,231 = 165,231/x
  3. Step 3: Cross multiply
    76,464x = 165,231 × 165,231
  4. Step 4: Simplify right side
    76,464x = 27,301,283,361
  5. Step 5: Solve for x
    x = 27,301,283,361/76,464
  6. Step 6: Final answer
    x = 357,047.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.