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Finding the Third Proportional to 117,358.88 and 176,599.69

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Solution

The third proportional to 117,358.88 and 176,599.69 is: 265,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,358.88 : 176,599.69 = 176,599.69 : x
  2. Step 2: Convert to fraction form
    117,358.88/176,599.69 = 176,599.69/x
  3. Step 3: Cross multiply
    117,358.88x = 176,599.69 × 176,599.69
  4. Step 4: Simplify right side
    117,358.88x = 31,187,449,625.10
  5. Step 5: Solve for x
    x = 31,187,449,625.10/117,358.88
  6. Step 6: Final answer
    x = 265,744.28

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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.