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Finding the Third Proportional to 331,198 and 525,298

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Solution

The third proportional to 331,198 and 525,298 is: 833,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,198 : 525,298 = 525,298 : x
  2. Step 2: Convert to fraction form
    331,198/525,298 = 525,298/x
  3. Step 3: Cross multiply
    331,198x = 525,298 × 525,298
  4. Step 4: Simplify right side
    331,198x = 275,937,988,804
  5. Step 5: Solve for x
    x = 275,937,988,804/331,198
  6. Step 6: Final answer
    x = 833,151.13

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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.