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Finding the Third Proportional to 232,942 and 351,345

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Solution

The third proportional to 232,942 and 351,345 is: 529,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,942 : 351,345 = 351,345 : x
  2. Step 2: Convert to fraction form
    232,942/351,345 = 351,345/x
  3. Step 3: Cross multiply
    232,942x = 351,345 × 351,345
  4. Step 4: Simplify right side
    232,942x = 123,443,309,025
  5. Step 5: Solve for x
    x = 123,443,309,025/232,942
  6. Step 6: Final answer
    x = 529,931.52

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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.