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Finding the Third Proportional to 151,759 and 218,598.50

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Solution

The third proportional to 151,759 and 218,598.50 is: 314,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,759 : 218,598.50 = 218,598.50 : x
  2. Step 2: Convert to fraction form
    151,759/218,598.50 = 218,598.50/x
  3. Step 3: Cross multiply
    151,759x = 218,598.50 × 218,598.50
  4. Step 4: Simplify right side
    151,759x = 47,785,304,202.25
  5. Step 5: Solve for x
    x = 47,785,304,202.25/151,759
  6. Step 6: Final answer
    x = 314,876.25

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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.