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Finding the Third Proportional to 207,225 and 429,192

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Solution

The third proportional to 207,225 and 429,192 is: 888,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,225 : 429,192 = 429,192 : x
  2. Step 2: Convert to fraction form
    207,225/429,192 = 429,192/x
  3. Step 3: Cross multiply
    207,225x = 429,192 × 429,192
  4. Step 4: Simplify right side
    207,225x = 184,205,772,864
  5. Step 5: Solve for x
    x = 184,205,772,864/207,225
  6. Step 6: Final answer
    x = 888,916.75

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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.