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Finding the Third Proportional to 151,815.75 and 326,985.75

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Solution

The third proportional to 151,815.75 and 326,985.75 is: 704,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,815.75 : 326,985.75 = 326,985.75 : x
  2. Step 2: Convert to fraction form
    151,815.75/326,985.75 = 326,985.75/x
  3. Step 3: Cross multiply
    151,815.75x = 326,985.75 × 326,985.75
  4. Step 4: Simplify right side
    151,815.75x = 106,919,680,703.06
  5. Step 5: Solve for x
    x = 106,919,680,703.06/151,815.75
  6. Step 6: Final answer
    x = 704,272.65

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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.