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Finding the Third Proportional to 117,346.69 and 176,566.69

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Solution

The third proportional to 117,346.69 and 176,566.69 is: 265,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,346.69 : 176,566.69 = 176,566.69 : x
  2. Step 2: Convert to fraction form
    117,346.69/176,566.69 = 176,566.69/x
  3. Step 3: Cross multiply
    117,346.69x = 176,566.69 × 176,566.69
  4. Step 4: Simplify right side
    117,346.69x = 31,175,795,134.72
  5. Step 5: Solve for x
    x = 31,175,795,134.72/117,346.69
  6. Step 6: Final answer
    x = 265,672.56

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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.