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Finding the Third Proportional to 231,423.75 and 349,606.13

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Solution

The third proportional to 231,423.75 and 349,606.13 is: 528,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,423.75 : 349,606.13 = 349,606.13 : x
  2. Step 2: Convert to fraction form
    231,423.75/349,606.13 = 349,606.13/x
  3. Step 3: Cross multiply
    231,423.75x = 349,606.13 × 349,606.13
  4. Step 4: Simplify right side
    231,423.75x = 122,224,442,637.52
  5. Step 5: Solve for x
    x = 122,224,442,637.52/231,423.75
  6. Step 6: Final answer
    x = 528,141.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.