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Finding the Third Proportional to 145,624 and 219,774

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Solution

The third proportional to 145,624 and 219,774 is: 331,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,624 : 219,774 = 219,774 : x
  2. Step 2: Convert to fraction form
    145,624/219,774 = 219,774/x
  3. Step 3: Cross multiply
    145,624x = 219,774 × 219,774
  4. Step 4: Simplify right side
    145,624x = 48,300,611,076
  5. Step 5: Solve for x
    x = 48,300,611,076/145,624
  6. Step 6: Final answer
    x = 331,680.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.