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Finding the Third Proportional to 223,092.35 and 335,133.07

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Solution

The third proportional to 223,092.35 and 335,133.07 is: 503,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,092.35 : 335,133.07 = 335,133.07 : x
  2. Step 2: Convert to fraction form
    223,092.35/335,133.07 = 335,133.07/x
  3. Step 3: Cross multiply
    223,092.35x = 335,133.07 × 335,133.07
  4. Step 4: Simplify right side
    223,092.35x = 112,314,174,817.08
  5. Step 5: Solve for x
    x = 112,314,174,817.08/223,092.35
  6. Step 6: Final answer
    x = 503,442.52

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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.