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Finding the Third Proportional to 225,317.81 and 347,911.88

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Solution

The third proportional to 225,317.81 and 347,911.88 is: 537,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,317.81 : 347,911.88 = 347,911.88 : x
  2. Step 2: Convert to fraction form
    225,317.81/347,911.88 = 347,911.88/x
  3. Step 3: Cross multiply
    225,317.81x = 347,911.88 × 347,911.88
  4. Step 4: Simplify right side
    225,317.81x = 121,042,672,766.02
  5. Step 5: Solve for x
    x = 121,042,672,766.02/225,317.81
  6. Step 6: Final answer
    x = 537,208.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.