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Finding the Third Proportional to 232,912 and 351,300

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Solution

The third proportional to 232,912 and 351,300 is: 529,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,912 : 351,300 = 351,300 : x
  2. Step 2: Convert to fraction form
    232,912/351,300 = 351,300/x
  3. Step 3: Cross multiply
    232,912x = 351,300 × 351,300
  4. Step 4: Simplify right side
    232,912x = 123,411,690,000
  5. Step 5: Solve for x
    x = 123,411,690,000/232,912
  6. Step 6: Final answer
    x = 529,864.03

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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.