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Finding the Third Proportional to 171,048 and 364,240.50

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Solution

The third proportional to 171,048 and 364,240.50 is: 775,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,048 : 364,240.50 = 364,240.50 : x
  2. Step 2: Convert to fraction form
    171,048/364,240.50 = 364,240.50/x
  3. Step 3: Cross multiply
    171,048x = 364,240.50 × 364,240.50
  4. Step 4: Simplify right side
    171,048x = 132,671,141,840.25
  5. Step 5: Solve for x
    x = 132,671,141,840.25/171,048
  6. Step 6: Final answer
    x = 775,636.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.