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Finding the Third Proportional to 145,968.50 and 219,600.75

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Solution

The third proportional to 145,968.50 and 219,600.75 is: 330,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,968.50 : 219,600.75 = 219,600.75 : x
  2. Step 2: Convert to fraction form
    145,968.50/219,600.75 = 219,600.75/x
  3. Step 3: Cross multiply
    145,968.50x = 219,600.75 × 219,600.75
  4. Step 4: Simplify right side
    145,968.50x = 48,224,489,400.56
  5. Step 5: Solve for x
    x = 48,224,489,400.56/145,968.50
  6. Step 6: Final answer
    x = 330,376.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.