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Finding the Third Proportional to 151,842 and 324,702.75

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Solution

The third proportional to 151,842 and 324,702.75 is: 694,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,842 : 324,702.75 = 324,702.75 : x
  2. Step 2: Convert to fraction form
    151,842/324,702.75 = 324,702.75/x
  3. Step 3: Cross multiply
    151,842x = 324,702.75 × 324,702.75
  4. Step 4: Simplify right side
    151,842x = 105,431,875,857.56
  5. Step 5: Solve for x
    x = 105,431,875,857.56/151,842
  6. Step 6: Final answer
    x = 694,352.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.