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Finding the Third Proportional to 172,579 and 370,774

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Solution

The third proportional to 172,579 and 370,774 is: 796,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,579 : 370,774 = 370,774 : x
  2. Step 2: Convert to fraction form
    172,579/370,774 = 370,774/x
  3. Step 3: Cross multiply
    172,579x = 370,774 × 370,774
  4. Step 4: Simplify right side
    172,579x = 137,473,359,076
  5. Step 5: Solve for x
    x = 137,473,359,076/172,579
  6. Step 6: Final answer
    x = 796,582.20

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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.