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Finding the Third Proportional to 116,610 and 178,293

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Solution

The third proportional to 116,610 and 178,293 is: 272,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,610 : 178,293 = 178,293 : x
  2. Step 2: Convert to fraction form
    116,610/178,293 = 178,293/x
  3. Step 3: Cross multiply
    116,610x = 178,293 × 178,293
  4. Step 4: Simplify right side
    116,610x = 31,788,393,849
  5. Step 5: Solve for x
    x = 31,788,393,849/116,610
  6. Step 6: Final answer
    x = 272,604.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.