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Finding the Third Proportional to 232,716 and 351,018

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Solution

The third proportional to 232,716 and 351,018 is: 529,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,716 : 351,018 = 351,018 : x
  2. Step 2: Convert to fraction form
    232,716/351,018 = 351,018/x
  3. Step 3: Cross multiply
    232,716x = 351,018 × 351,018
  4. Step 4: Simplify right side
    232,716x = 123,213,636,324
  5. Step 5: Solve for x
    x = 123,213,636,324/232,716
  6. Step 6: Final answer
    x = 529,459.24

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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.