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Finding the Third Proportional to 117,546.75 and 176,319

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Solution

The third proportional to 117,546.75 and 176,319 is: 264,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,546.75 : 176,319 = 176,319 : x
  2. Step 2: Convert to fraction form
    117,546.75/176,319 = 176,319/x
  3. Step 3: Cross multiply
    117,546.75x = 176,319 × 176,319
  4. Step 4: Simplify right side
    117,546.75x = 31,088,389,761
  5. Step 5: Solve for x
    x = 31,088,389,761/117,546.75
  6. Step 6: Final answer
    x = 264,476.81

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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.