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Finding the Third Proportional to 116,578 and 255,026

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Solution

The third proportional to 116,578 and 255,026 is: 557,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,578 : 255,026 = 255,026 : x
  2. Step 2: Convert to fraction form
    116,578/255,026 = 255,026/x
  3. Step 3: Cross multiply
    116,578x = 255,026 × 255,026
  4. Step 4: Simplify right side
    116,578x = 65,038,260,676
  5. Step 5: Solve for x
    x = 65,038,260,676/116,578
  6. Step 6: Final answer
    x = 557,894.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.