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Finding the Third Proportional to 233,167 and 349,747

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Solution

The third proportional to 233,167 and 349,747 is: 524,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,167 : 349,747 = 349,747 : x
  2. Step 2: Convert to fraction form
    233,167/349,747 = 349,747/x
  3. Step 3: Cross multiply
    233,167x = 349,747 × 349,747
  4. Step 4: Simplify right side
    233,167x = 122,322,964,009
  5. Step 5: Solve for x
    x = 122,322,964,009/233,167
  6. Step 6: Final answer
    x = 524,615.25

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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.