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Finding the Third Proportional to 151,784 and 333,093

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Solution

The third proportional to 151,784 and 333,093 is: 730,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,784 : 333,093 = 333,093 : x
  2. Step 2: Convert to fraction form
    151,784/333,093 = 333,093/x
  3. Step 3: Cross multiply
    151,784x = 333,093 × 333,093
  4. Step 4: Simplify right side
    151,784x = 110,950,946,649
  5. Step 5: Solve for x
    x = 110,950,946,649/151,784
  6. Step 6: Final answer
    x = 730,979.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.