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Finding the Third Proportional to 171,796.50 and 366,421.50

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Solution

The third proportional to 171,796.50 and 366,421.50 is: 781,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,796.50 : 366,421.50 = 366,421.50 : x
  2. Step 2: Convert to fraction form
    171,796.50/366,421.50 = 366,421.50/x
  3. Step 3: Cross multiply
    171,796.50x = 366,421.50 × 366,421.50
  4. Step 4: Simplify right side
    171,796.50x = 134,264,715,662.25
  5. Step 5: Solve for x
    x = 134,264,715,662.25/171,796.50
  6. Step 6: Final answer
    x = 781,533.48

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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.