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Finding the Third Proportional to 195,144 and 285,258

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Solution

The third proportional to 195,144 and 285,258 is: 416,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,144 : 285,258 = 285,258 : x
  2. Step 2: Convert to fraction form
    195,144/285,258 = 285,258/x
  3. Step 3: Cross multiply
    195,144x = 285,258 × 285,258
  4. Step 4: Simplify right side
    195,144x = 81,372,126,564
  5. Step 5: Solve for x
    x = 81,372,126,564/195,144
  6. Step 6: Final answer
    x = 416,985.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.