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Finding the Third Proportional to 230,382 and 343,797

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Solution

The third proportional to 230,382 and 343,797 is: 513,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382 : 343,797 = 343,797 : x
  2. Step 2: Convert to fraction form
    230,382/343,797 = 343,797/x
  3. Step 3: Cross multiply
    230,382x = 343,797 × 343,797
  4. Step 4: Simplify right side
    230,382x = 118,196,377,209
  5. Step 5: Solve for x
    x = 118,196,377,209/230,382
  6. Step 6: Final answer
    x = 513,045.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.