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Finding the Third Proportional to 238,306.50 and 349,440.75

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Solution

The third proportional to 238,306.50 and 349,440.75 is: 512,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,306.50 : 349,440.75 = 349,440.75 : x
  2. Step 2: Convert to fraction form
    238,306.50/349,440.75 = 349,440.75/x
  3. Step 3: Cross multiply
    238,306.50x = 349,440.75 × 349,440.75
  4. Step 4: Simplify right side
    238,306.50x = 122,108,837,760.56
  5. Step 5: Solve for x
    x = 122,108,837,760.56/238,306.50
  6. Step 6: Final answer
    x = 512,402.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.