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Finding the Third Proportional to 172,816.50 and 357,940.50

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Solution

The third proportional to 172,816.50 and 357,940.50 is: 741,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,816.50 : 357,940.50 = 357,940.50 : x
  2. Step 2: Convert to fraction form
    172,816.50/357,940.50 = 357,940.50/x
  3. Step 3: Cross multiply
    172,816.50x = 357,940.50 × 357,940.50
  4. Step 4: Simplify right side
    172,816.50x = 128,121,401,540.25
  5. Step 5: Solve for x
    x = 128,121,401,540.25/172,816.50
  6. Step 6: Final answer
    x = 741,372.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.