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Finding the Third Proportional to 231,491.25 and 347,852.81

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Solution

The third proportional to 231,491.25 and 347,852.81 is: 522,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,491.25 : 347,852.81 = 347,852.81 : x
  2. Step 2: Convert to fraction form
    231,491.25/347,852.81 = 347,852.81/x
  3. Step 3: Cross multiply
    231,491.25x = 347,852.81 × 347,852.81
  4. Step 4: Simplify right side
    231,491.25x = 121,001,579,164.16
  5. Step 5: Solve for x
    x = 121,001,579,164.16/231,491.25
  6. Step 6: Final answer
    x = 522,704.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.