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Finding the Third Proportional to 172,564 and 370,743

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Solution

The third proportional to 172,564 and 370,743 is: 796,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,564 : 370,743 = 370,743 : x
  2. Step 2: Convert to fraction form
    172,564/370,743 = 370,743/x
  3. Step 3: Cross multiply
    172,564x = 370,743 × 370,743
  4. Step 4: Simplify right side
    172,564x = 137,450,372,049
  5. Step 5: Solve for x
    x = 137,450,372,049/172,564
  6. Step 6: Final answer
    x = 796,518.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.