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Finding the Third Proportional to 230,824 and 345,312

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Solution

The third proportional to 230,824 and 345,312 is: 516,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,824 : 345,312 = 345,312 : x
  2. Step 2: Convert to fraction form
    230,824/345,312 = 345,312/x
  3. Step 3: Cross multiply
    230,824x = 345,312 × 345,312
  4. Step 4: Simplify right side
    230,824x = 119,240,377,344
  5. Step 5: Solve for x
    x = 119,240,377,344/230,824
  6. Step 6: Final answer
    x = 516,585.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.