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Finding the Third Proportional to 116,834 and 255,290

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Solution

The third proportional to 116,834 and 255,290 is: 557,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,834 : 255,290 = 255,290 : x
  2. Step 2: Convert to fraction form
    116,834/255,290 = 255,290/x
  3. Step 3: Cross multiply
    116,834x = 255,290 × 255,290
  4. Step 4: Simplify right side
    116,834x = 65,172,984,100
  5. Step 5: Solve for x
    x = 65,172,984,100/116,834
  6. Step 6: Final answer
    x = 557,825.50

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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.