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Finding the Third Proportional to 195,242 and 323,139

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Solution

The third proportional to 195,242 and 323,139 is: 534,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,242 : 323,139 = 323,139 : x
  2. Step 2: Convert to fraction form
    195,242/323,139 = 323,139/x
  3. Step 3: Cross multiply
    195,242x = 323,139 × 323,139
  4. Step 4: Simplify right side
    195,242x = 104,418,813,321
  5. Step 5: Solve for x
    x = 104,418,813,321/195,242
  6. Step 6: Final answer
    x = 534,817.37

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.