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Finding the Third Proportional to 173,982 and 369,288

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Solution

The third proportional to 173,982 and 369,288 is: 783,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,982 : 369,288 = 369,288 : x
  2. Step 2: Convert to fraction form
    173,982/369,288 = 369,288/x
  3. Step 3: Cross multiply
    173,982x = 369,288 × 369,288
  4. Step 4: Simplify right side
    173,982x = 136,373,626,944
  5. Step 5: Solve for x
    x = 136,373,626,944/173,982
  6. Step 6: Final answer
    x = 783,837.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.