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Finding the Third Proportional to 161,650.69 and 351,281.81

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Solution

The third proportional to 161,650.69 and 351,281.81 is: 763,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,650.69 : 351,281.81 = 351,281.81 : x
  2. Step 2: Convert to fraction form
    161,650.69/351,281.81 = 351,281.81/x
  3. Step 3: Cross multiply
    161,650.69x = 351,281.81 × 351,281.81
  4. Step 4: Simplify right side
    161,650.69x = 123,398,911,793.29
  5. Step 5: Solve for x
    x = 123,398,911,793.29/161,650.69
  6. Step 6: Final answer
    x = 763,367.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.