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Finding the Third Proportional to 195,102 and 285,201

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Solution

The third proportional to 195,102 and 285,201 is: 416,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,102 : 285,201 = 285,201 : x
  2. Step 2: Convert to fraction form
    195,102/285,201 = 285,201/x
  3. Step 3: Cross multiply
    195,102x = 285,201 × 285,201
  4. Step 4: Simplify right side
    195,102x = 81,339,610,401
  5. Step 5: Solve for x
    x = 81,339,610,401/195,102
  6. Step 6: Final answer
    x = 416,908.13

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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.