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Finding the Third Proportional to 231,399 and 349,564.50

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Solution

The third proportional to 231,399 and 349,564.50 is: 528,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,399 : 349,564.50 = 349,564.50 : x
  2. Step 2: Convert to fraction form
    231,399/349,564.50 = 349,564.50/x
  3. Step 3: Cross multiply
    231,399x = 349,564.50 × 349,564.50
  4. Step 4: Simplify right side
    231,399x = 122,195,339,660.25
  5. Step 5: Solve for x
    x = 122,195,339,660.25/231,399
  6. Step 6: Final answer
    x = 528,072.03

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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.