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Finding the Third Proportional to 117,270 and 253,404

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Solution

The third proportional to 117,270 and 253,404 is: 547,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,270 : 253,404 = 253,404 : x
  2. Step 2: Convert to fraction form
    117,270/253,404 = 253,404/x
  3. Step 3: Cross multiply
    117,270x = 253,404 × 253,404
  4. Step 4: Simplify right side
    117,270x = 64,213,587,216
  5. Step 5: Solve for x
    x = 64,213,587,216/117,270
  6. Step 6: Final answer
    x = 547,570.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.