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Finding the Third Proportional to 151,969.50 and 330,697.50

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Solution

The third proportional to 151,969.50 and 330,697.50 is: 719,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,969.50 : 330,697.50 = 330,697.50 : x
  2. Step 2: Convert to fraction form
    151,969.50/330,697.50 = 330,697.50/x
  3. Step 3: Cross multiply
    151,969.50x = 330,697.50 × 330,697.50
  4. Step 4: Simplify right side
    151,969.50x = 109,360,836,506.25
  5. Step 5: Solve for x
    x = 109,360,836,506.25/151,969.50
  6. Step 6: Final answer
    x = 719,623.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.