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Finding the Third Proportional to 232,718 and 351,021

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Solution

The third proportional to 232,718 and 351,021 is: 529,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,718 : 351,021 = 351,021 : x
  2. Step 2: Convert to fraction form
    232,718/351,021 = 351,021/x
  3. Step 3: Cross multiply
    232,718x = 351,021 × 351,021
  4. Step 4: Simplify right side
    232,718x = 123,215,742,441
  5. Step 5: Solve for x
    x = 123,215,742,441/232,718
  6. Step 6: Final answer
    x = 529,463.74

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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.