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Finding the Third Proportional to 116,834 and 255,289

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Solution

The third proportional to 116,834 and 255,289 is: 557,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,834 : 255,289 = 255,289 : x
  2. Step 2: Convert to fraction form
    116,834/255,289 = 255,289/x
  3. Step 3: Cross multiply
    116,834x = 255,289 × 255,289
  4. Step 4: Simplify right side
    116,834x = 65,172,473,521
  5. Step 5: Solve for x
    x = 65,172,473,521/116,834
  6. Step 6: Final answer
    x = 557,821.13

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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.