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Finding the Third Proportional to 242,516.75 and 326,250

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Solution

The third proportional to 242,516.75 and 326,250 is: 438,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,516.75 : 326,250 = 326,250 : x
  2. Step 2: Convert to fraction form
    242,516.75/326,250 = 326,250/x
  3. Step 3: Cross multiply
    242,516.75x = 326,250 × 326,250
  4. Step 4: Simplify right side
    242,516.75x = 106,439,062,500
  5. Step 5: Solve for x
    x = 106,439,062,500/242,516.75
  6. Step 6: Final answer
    x = 438,893.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.