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Finding the Third Proportional to 117,728 and 253,888

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Solution

The third proportional to 117,728 and 253,888 is: 547,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,728 : 253,888 = 253,888 : x
  2. Step 2: Convert to fraction form
    117,728/253,888 = 253,888/x
  3. Step 3: Cross multiply
    117,728x = 253,888 × 253,888
  4. Step 4: Simplify right side
    117,728x = 64,459,116,544
  5. Step 5: Solve for x
    x = 64,459,116,544/117,728
  6. Step 6: Final answer
    x = 547,525.79

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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.