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Finding the Third Proportional to 195,764 and 427,482

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Solution

The third proportional to 195,764 and 427,482 is: 933,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,764 : 427,482 = 427,482 : x
  2. Step 2: Convert to fraction form
    195,764/427,482 = 427,482/x
  3. Step 3: Cross multiply
    195,764x = 427,482 × 427,482
  4. Step 4: Simplify right side
    195,764x = 182,740,860,324
  5. Step 5: Solve for x
    x = 182,740,860,324/195,764
  6. Step 6: Final answer
    x = 933,475.31

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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.