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Finding the Third Proportional to 172,831 and 359,457.50

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Solution

The third proportional to 172,831 and 359,457.50 is: 747,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,831 : 359,457.50 = 359,457.50 : x
  2. Step 2: Convert to fraction form
    172,831/359,457.50 = 359,457.50/x
  3. Step 3: Cross multiply
    172,831x = 359,457.50 × 359,457.50
  4. Step 4: Simplify right side
    172,831x = 129,209,694,306.25
  5. Step 5: Solve for x
    x = 129,209,694,306.25/172,831
  6. Step 6: Final answer
    x = 747,607.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.