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Finding the Third Proportional to 145,968 and 219,600

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Solution

The third proportional to 145,968 and 219,600 is: 330,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,968 : 219,600 = 219,600 : x
  2. Step 2: Convert to fraction form
    145,968/219,600 = 219,600/x
  3. Step 3: Cross multiply
    145,968x = 219,600 × 219,600
  4. Step 4: Simplify right side
    145,968x = 48,224,160,000
  5. Step 5: Solve for x
    x = 48,224,160,000/145,968
  6. Step 6: Final answer
    x = 330,374.88

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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.