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Finding the Third Proportional to 116,832 and 248,248

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Solution

The third proportional to 116,832 and 248,248 is: 527,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,832 : 248,248 = 248,248 : x
  2. Step 2: Convert to fraction form
    116,832/248,248 = 248,248/x
  3. Step 3: Cross multiply
    116,832x = 248,248 × 248,248
  4. Step 4: Simplify right side
    116,832x = 61,627,069,504
  5. Step 5: Solve for x
    x = 61,627,069,504/116,832
  6. Step 6: Final answer
    x = 527,484.50

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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.