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Finding the Third Proportional to 117,160.17 and 177,383.67

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Solution

The third proportional to 117,160.17 and 177,383.67 is: 268,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,160.17 : 177,383.67 = 177,383.67 : x
  2. Step 2: Convert to fraction form
    117,160.17/177,383.67 = 177,383.67/x
  3. Step 3: Cross multiply
    117,160.17x = 177,383.67 × 177,383.67
  4. Step 4: Simplify right side
    117,160.17x = 31,464,967,047.86
  5. Step 5: Solve for x
    x = 31,464,967,047.86/117,160.17
  6. Step 6: Final answer
    x = 268,563.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.