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Finding the Third Proportional to 169,226 and 367,630.50

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Solution

The third proportional to 169,226 and 367,630.50 is: 798,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,226 : 367,630.50 = 367,630.50 : x
  2. Step 2: Convert to fraction form
    169,226/367,630.50 = 367,630.50/x
  3. Step 3: Cross multiply
    169,226x = 367,630.50 × 367,630.50
  4. Step 4: Simplify right side
    169,226x = 135,152,184,530.25
  5. Step 5: Solve for x
    x = 135,152,184,530.25/169,226
  6. Step 6: Final answer
    x = 798,649.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.