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Finding the Third Proportional to 151,962.50 and 330,682.50

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Solution

The third proportional to 151,962.50 and 330,682.50 is: 719,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,962.50 : 330,682.50 = 330,682.50 : x
  2. Step 2: Convert to fraction form
    151,962.50/330,682.50 = 330,682.50/x
  3. Step 3: Cross multiply
    151,962.50x = 330,682.50 × 330,682.50
  4. Step 4: Simplify right side
    151,962.50x = 109,350,915,806.25
  5. Step 5: Solve for x
    x = 109,350,915,806.25/151,962.50
  6. Step 6: Final answer
    x = 719,591.45

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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.