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Finding the Third Proportional to 151,719 and 218,546

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Solution

The third proportional to 151,719 and 218,546 is: 314,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,719 : 218,546 = 218,546 : x
  2. Step 2: Convert to fraction form
    151,719/218,546 = 218,546/x
  3. Step 3: Cross multiply
    151,719x = 218,546 × 218,546
  4. Step 4: Simplify right side
    151,719x = 47,762,354,116
  5. Step 5: Solve for x
    x = 47,762,354,116/151,719
  6. Step 6: Final answer
    x = 314,807.99

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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.