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Finding the Third Proportional to 172,896 and 375,324

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Solution

The third proportional to 172,896 and 375,324 is: 814,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,896 : 375,324 = 375,324 : x
  2. Step 2: Convert to fraction form
    172,896/375,324 = 375,324/x
  3. Step 3: Cross multiply
    172,896x = 375,324 × 375,324
  4. Step 4: Simplify right side
    172,896x = 140,868,104,976
  5. Step 5: Solve for x
    x = 140,868,104,976/172,896
  6. Step 6: Final answer
    x = 814,756.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.