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Finding the Third Proportional to 233,093.50 and 329,011

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Solution

The third proportional to 233,093.50 and 329,011 is: 464,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,093.50 : 329,011 = 329,011 : x
  2. Step 2: Convert to fraction form
    233,093.50/329,011 = 329,011/x
  3. Step 3: Cross multiply
    233,093.50x = 329,011 × 329,011
  4. Step 4: Simplify right side
    233,093.50x = 108,248,238,121
  5. Step 5: Solve for x
    x = 108,248,238,121/233,093.50
  6. Step 6: Final answer
    x = 464,398.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.