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Finding the Third Proportional to 233,252 and 349,818

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Solution

The third proportional to 233,252 and 349,818 is: 524,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,252 : 349,818 = 349,818 : x
  2. Step 2: Convert to fraction form
    233,252/349,818 = 349,818/x
  3. Step 3: Cross multiply
    233,252x = 349,818 × 349,818
  4. Step 4: Simplify right side
    233,252x = 122,372,633,124
  5. Step 5: Solve for x
    x = 122,372,633,124/233,252
  6. Step 6: Final answer
    x = 524,637.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.