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Finding the Third Proportional to 149,594 and 219,963

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Solution

The third proportional to 149,594 and 219,963 is: 323,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,594 : 219,963 = 219,963 : x
  2. Step 2: Convert to fraction form
    149,594/219,963 = 219,963/x
  3. Step 3: Cross multiply
    149,594x = 219,963 × 219,963
  4. Step 4: Simplify right side
    149,594x = 48,383,721,369
  5. Step 5: Solve for x
    x = 48,383,721,369/149,594
  6. Step 6: Final answer
    x = 323,433.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.