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Finding the Third Proportional to 114,472 and 248,638

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Solution

The third proportional to 114,472 and 248,638 is: 540,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,472 : 248,638 = 248,638 : x
  2. Step 2: Convert to fraction form
    114,472/248,638 = 248,638/x
  3. Step 3: Cross multiply
    114,472x = 248,638 × 248,638
  4. Step 4: Simplify right side
    114,472x = 61,820,855,044
  5. Step 5: Solve for x
    x = 61,820,855,044/114,472
  6. Step 6: Final answer
    x = 540,052.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.