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Finding the Third Proportional to 236,000 and 349,576

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Solution

The third proportional to 236,000 and 349,576 is: 517,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,000 : 349,576 = 349,576 : x
  2. Step 2: Convert to fraction form
    236,000/349,576 = 349,576/x
  3. Step 3: Cross multiply
    236,000x = 349,576 × 349,576
  4. Step 4: Simplify right side
    236,000x = 122,203,379,776
  5. Step 5: Solve for x
    x = 122,203,379,776/236,000
  6. Step 6: Final answer
    x = 517,810.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.