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Finding the Third Proportional to 114,737 and 248,538

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Solution

The third proportional to 114,737 and 248,538 is: 538,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,737 : 248,538 = 248,538 : x
  2. Step 2: Convert to fraction form
    114,737/248,538 = 248,538/x
  3. Step 3: Cross multiply
    114,737x = 248,538 × 248,538
  4. Step 4: Simplify right side
    114,737x = 61,771,137,444
  5. Step 5: Solve for x
    x = 61,771,137,444/114,737
  6. Step 6: Final answer
    x = 538,371.56

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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.