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Finding the Third Proportional to 152,721 and 335,565

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Solution

The third proportional to 152,721 and 335,565 is: 737,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,721 : 335,565 = 335,565 : x
  2. Step 2: Convert to fraction form
    152,721/335,565 = 335,565/x
  3. Step 3: Cross multiply
    152,721x = 335,565 × 335,565
  4. Step 4: Simplify right side
    152,721x = 112,603,869,225
  5. Step 5: Solve for x
    x = 112,603,869,225/152,721
  6. Step 6: Final answer
    x = 737,317.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.