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Finding the Third Proportional to 114,252 and 255,000

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Solution

The third proportional to 114,252 and 255,000 is: 569,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,252 : 255,000 = 255,000 : x
  2. Step 2: Convert to fraction form
    114,252/255,000 = 255,000/x
  3. Step 3: Cross multiply
    114,252x = 255,000 × 255,000
  4. Step 4: Simplify right side
    114,252x = 65,025,000,000
  5. Step 5: Solve for x
    x = 65,025,000,000/114,252
  6. Step 6: Final answer
    x = 569,136.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.