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Finding the Third Proportional to 76,329.09 and 162,802.78

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Solution

The third proportional to 76,329.09 and 162,802.78 is: 347,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,329.09 : 162,802.78 = 162,802.78 : x
  2. Step 2: Convert to fraction form
    76,329.09/162,802.78 = 162,802.78/x
  3. Step 3: Cross multiply
    76,329.09x = 162,802.78 × 162,802.78
  4. Step 4: Simplify right side
    76,329.09x = 26,504,745,582.74
  5. Step 5: Solve for x
    x = 26,504,745,582.74/76,329.09
  6. Step 6: Final answer
    x = 347,243.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.