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Finding the Third Proportional to 151,785 and 219,285.75

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Solution

The third proportional to 151,785 and 219,285.75 is: 316,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,785 : 219,285.75 = 219,285.75 : x
  2. Step 2: Convert to fraction form
    151,785/219,285.75 = 219,285.75/x
  3. Step 3: Cross multiply
    151,785x = 219,285.75 × 219,285.75
  4. Step 4: Simplify right side
    151,785x = 48,086,240,153.06
  5. Step 5: Solve for x
    x = 48,086,240,153.06/151,785
  6. Step 6: Final answer
    x = 316,804.96

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.