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Finding the Third Proportional to 117,518 and 248,432

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Solution

The third proportional to 117,518 and 248,432 is: 525,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,518 : 248,432 = 248,432 : x
  2. Step 2: Convert to fraction form
    117,518/248,432 = 248,432/x
  3. Step 3: Cross multiply
    117,518x = 248,432 × 248,432
  4. Step 4: Simplify right side
    117,518x = 61,718,458,624
  5. Step 5: Solve for x
    x = 61,718,458,624/117,518
  6. Step 6: Final answer
    x = 525,183.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.