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Finding the Third Proportional to 207,222 and 429,186

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Solution

The third proportional to 207,222 and 429,186 is: 888,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,222 : 429,186 = 429,186 : x
  2. Step 2: Convert to fraction form
    207,222/429,186 = 429,186/x
  3. Step 3: Cross multiply
    207,222x = 429,186 × 429,186
  4. Step 4: Simplify right side
    207,222x = 184,200,622,596
  5. Step 5: Solve for x
    x = 184,200,622,596/207,222
  6. Step 6: Final answer
    x = 888,904.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.