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Finding the Third Proportional to 114,867 and 252,387

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Solution

The third proportional to 114,867 and 252,387 is: 554,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,867 : 252,387 = 252,387 : x
  2. Step 2: Convert to fraction form
    114,867/252,387 = 252,387/x
  3. Step 3: Cross multiply
    114,867x = 252,387 × 252,387
  4. Step 4: Simplify right side
    114,867x = 63,699,197,769
  5. Step 5: Solve for x
    x = 63,699,197,769/114,867
  6. Step 6: Final answer
    x = 554,547.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.