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Finding the Third Proportional to 172,354 and 360,324

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Solution

The third proportional to 172,354 and 360,324 is: 753,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,354 : 360,324 = 360,324 : x
  2. Step 2: Convert to fraction form
    172,354/360,324 = 360,324/x
  3. Step 3: Cross multiply
    172,354x = 360,324 × 360,324
  4. Step 4: Simplify right side
    172,354x = 129,833,384,976
  5. Step 5: Solve for x
    x = 129,833,384,976/172,354
  6. Step 6: Final answer
    x = 753,294.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.