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Finding the Third Proportional to 230,775 and 349,236

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Solution

The third proportional to 230,775 and 349,236 is: 528,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,775 : 349,236 = 349,236 : x
  2. Step 2: Convert to fraction form
    230,775/349,236 = 349,236/x
  3. Step 3: Cross multiply
    230,775x = 349,236 × 349,236
  4. Step 4: Simplify right side
    230,775x = 121,965,783,696
  5. Step 5: Solve for x
    x = 121,965,783,696/230,775
  6. Step 6: Final answer
    x = 528,505.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.