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Finding the Third Proportional to 76,455.56 and 165,511.13

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Solution

The third proportional to 76,455.56 and 165,511.13 is: 358,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,455.56 : 165,511.13 = 165,511.13 : x
  2. Step 2: Convert to fraction form
    76,455.56/165,511.13 = 165,511.13/x
  3. Step 3: Cross multiply
    76,455.56x = 165,511.13 × 165,511.13
  4. Step 4: Simplify right side
    76,455.56x = 27,393,932,498.77
  5. Step 5: Solve for x
    x = 27,393,932,498.77/76,455.56
  6. Step 6: Final answer
    x = 358,298.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.