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Finding the Third Proportional to 117,508.50 and 176,524.88

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Solution

The third proportional to 117,508.50 and 176,524.88 is: 265,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,508.50 : 176,524.88 = 176,524.88 : x
  2. Step 2: Convert to fraction form
    117,508.50/176,524.88 = 176,524.88/x
  3. Step 3: Cross multiply
    117,508.50x = 176,524.88 × 176,524.88
  4. Step 4: Simplify right side
    117,508.50x = 31,161,031,493.77
  5. Step 5: Solve for x
    x = 31,161,031,493.77/117,508.50
  6. Step 6: Final answer
    x = 265,181.08

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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.