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Finding the Third Proportional to 342,149.63 and 500,223.38

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Solution

The third proportional to 342,149.63 and 500,223.38 is: 731,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,149.63 : 500,223.38 = 500,223.38 : x
  2. Step 2: Convert to fraction form
    342,149.63/500,223.38 = 500,223.38/x
  3. Step 3: Cross multiply
    342,149.63x = 500,223.38 × 500,223.38
  4. Step 4: Simplify right side
    342,149.63x = 250,223,424,896.39
  5. Step 5: Solve for x
    x = 250,223,424,896.39/342,149.63
  6. Step 6: Final answer
    x = 731,327.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.