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Finding the Third Proportional to 130,362 and 197,001

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Solution

The third proportional to 130,362 and 197,001 is: 297,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,362 : 197,001 = 197,001 : x
  2. Step 2: Convert to fraction form
    130,362/197,001 = 197,001/x
  3. Step 3: Cross multiply
    130,362x = 197,001 × 197,001
  4. Step 4: Simplify right side
    130,362x = 38,809,394,001
  5. Step 5: Solve for x
    x = 38,809,394,001/130,362
  6. Step 6: Final answer
    x = 297,704.81

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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.