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Finding the Third Proportional to 153,723 and 330,408.75

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Solution

The third proportional to 153,723 and 330,408.75 is: 710,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,723 : 330,408.75 = 330,408.75 : x
  2. Step 2: Convert to fraction form
    153,723/330,408.75 = 330,408.75/x
  3. Step 3: Cross multiply
    153,723x = 330,408.75 × 330,408.75
  4. Step 4: Simplify right side
    153,723x = 109,169,942,076.56
  5. Step 5: Solve for x
    x = 109,169,942,076.56/153,723
  6. Step 6: Final answer
    x = 710,173.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.