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Finding the Third Proportional to 117,436 and 176,190

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Solution

The third proportional to 117,436 and 176,190 is: 264,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,436 : 176,190 = 176,190 : x
  2. Step 2: Convert to fraction form
    117,436/176,190 = 176,190/x
  3. Step 3: Cross multiply
    117,436x = 176,190 × 176,190
  4. Step 4: Simplify right side
    117,436x = 31,042,916,100
  5. Step 5: Solve for x
    x = 31,042,916,100/117,436
  6. Step 6: Final answer
    x = 264,339.01

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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.