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Finding the Third Proportional to 152,775.75 and 328,956

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Solution

The third proportional to 152,775.75 and 328,956 is: 708,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,775.75 : 328,956 = 328,956 : x
  2. Step 2: Convert to fraction form
    152,775.75/328,956 = 328,956/x
  3. Step 3: Cross multiply
    152,775.75x = 328,956 × 328,956
  4. Step 4: Simplify right side
    152,775.75x = 108,212,049,936
  5. Step 5: Solve for x
    x = 108,212,049,936/152,775.75
  6. Step 6: Final answer
    x = 708,306.46

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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.