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Finding the Third Proportional to 231,362 and 349,960

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Solution

The third proportional to 231,362 and 349,960 is: 529,352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,362 : 349,960 = 349,960 : x
  2. Step 2: Convert to fraction form
    231,362/349,960 = 349,960/x
  3. Step 3: Cross multiply
    231,362x = 349,960 × 349,960
  4. Step 4: Simplify right side
    231,362x = 122,472,001,600
  5. Step 5: Solve for x
    x = 122,472,001,600/231,362
  6. Step 6: Final answer
    x = 529,352.28

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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.