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Finding the Third Proportional to 195,774 and 427,506

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Solution

The third proportional to 195,774 and 427,506 is: 933,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,774 : 427,506 = 427,506 : x
  2. Step 2: Convert to fraction form
    195,774/427,506 = 427,506/x
  3. Step 3: Cross multiply
    195,774x = 427,506 × 427,506
  4. Step 4: Simplify right side
    195,774x = 182,761,380,036
  5. Step 5: Solve for x
    x = 182,761,380,036/195,774
  6. Step 6: Final answer
    x = 933,532.44

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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.