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Finding the Third Proportional to 117,040 and 248,024

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Solution

The third proportional to 117,040 and 248,024 is: 525,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,040 : 248,024 = 248,024 : x
  2. Step 2: Convert to fraction form
    117,040/248,024 = 248,024/x
  3. Step 3: Cross multiply
    117,040x = 248,024 × 248,024
  4. Step 4: Simplify right side
    117,040x = 61,515,904,576
  5. Step 5: Solve for x
    x = 61,515,904,576/117,040
  6. Step 6: Final answer
    x = 525,597.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.