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Finding the Third Proportional to 76,465.69 and 165,234.94

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Solution

The third proportional to 76,465.69 and 165,234.94 is: 357,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465.69 : 165,234.94 = 165,234.94 : x
  2. Step 2: Convert to fraction form
    76,465.69/165,234.94 = 165,234.94/x
  3. Step 3: Cross multiply
    76,465.69x = 165,234.94 × 165,234.94
  4. Step 4: Simplify right side
    76,465.69x = 27,302,584,570.63
  5. Step 5: Solve for x
    x = 27,302,584,570.63/76,465.69
  6. Step 6: Final answer
    x = 357,056.68

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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.