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Finding the Third Proportional to 161,110.69 and 354,385.13

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Solution

The third proportional to 161,110.69 and 354,385.13 is: 779,518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,110.69 : 354,385.13 = 354,385.13 : x
  2. Step 2: Convert to fraction form
    161,110.69/354,385.13 = 354,385.13/x
  3. Step 3: Cross multiply
    161,110.69x = 354,385.13 × 354,385.13
  4. Step 4: Simplify right side
    161,110.69x = 125,588,816,821.27
  5. Step 5: Solve for x
    x = 125,588,816,821.27/161,110.69
  6. Step 6: Final answer
    x = 779,518.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.