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Finding the Third Proportional to 117,483 and 176,261

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Solution

The third proportional to 117,483 and 176,261 is: 264,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,483 : 176,261 = 176,261 : x
  2. Step 2: Convert to fraction form
    117,483/176,261 = 176,261/x
  3. Step 3: Cross multiply
    117,483x = 176,261 × 176,261
  4. Step 4: Simplify right side
    117,483x = 31,067,940,121
  5. Step 5: Solve for x
    x = 31,067,940,121/117,483
  6. Step 6: Final answer
    x = 264,446.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.