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Finding the Third Proportional to 331,195 and 525,295

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Solution

The third proportional to 331,195 and 525,295 is: 833,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,195 : 525,295 = 525,295 : x
  2. Step 2: Convert to fraction form
    331,195/525,295 = 525,295/x
  3. Step 3: Cross multiply
    331,195x = 525,295 × 525,295
  4. Step 4: Simplify right side
    331,195x = 275,934,837,025
  5. Step 5: Solve for x
    x = 275,934,837,025/331,195
  6. Step 6: Final answer
    x = 833,149.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.