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Finding the Third Proportional to 195,606 and 429,228

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Solution

The third proportional to 195,606 and 429,228 is: 941,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,606 : 429,228 = 429,228 : x
  2. Step 2: Convert to fraction form
    195,606/429,228 = 429,228/x
  3. Step 3: Cross multiply
    195,606x = 429,228 × 429,228
  4. Step 4: Simplify right side
    195,606x = 184,236,675,984
  5. Step 5: Solve for x
    x = 184,236,675,984/195,606
  6. Step 6: Final answer
    x = 941,876.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.