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Finding the Third Proportional to 114,291 and 245,592

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Solution

The third proportional to 114,291 and 245,592 is: 527,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,291 : 245,592 = 245,592 : x
  2. Step 2: Convert to fraction form
    114,291/245,592 = 245,592/x
  3. Step 3: Cross multiply
    114,291x = 245,592 × 245,592
  4. Step 4: Simplify right side
    114,291x = 60,315,430,464
  5. Step 5: Solve for x
    x = 60,315,430,464/114,291
  6. Step 6: Final answer
    x = 527,735.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.