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Finding the Third Proportional to 153,032 and 333,170

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Solution

The third proportional to 153,032 and 333,170 is: 725,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,032 : 333,170 = 333,170 : x
  2. Step 2: Convert to fraction form
    153,032/333,170 = 333,170/x
  3. Step 3: Cross multiply
    153,032x = 333,170 × 333,170
  4. Step 4: Simplify right side
    153,032x = 111,002,248,900
  5. Step 5: Solve for x
    x = 111,002,248,900/153,032
  6. Step 6: Final answer
    x = 725,353.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.