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Finding the Third Proportional to 207,227 and 429,196

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Solution

The third proportional to 207,227 and 429,196 is: 888,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,227 : 429,196 = 429,196 : x
  2. Step 2: Convert to fraction form
    207,227/429,196 = 429,196/x
  3. Step 3: Cross multiply
    207,227x = 429,196 × 429,196
  4. Step 4: Simplify right side
    207,227x = 184,209,206,416
  5. Step 5: Solve for x
    x = 184,209,206,416/207,227
  6. Step 6: Final answer
    x = 888,924.74

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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.