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Finding the Third Proportional to 130,933 and 281,243

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Solution

The third proportional to 130,933 and 281,243 is: 604,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,933 : 281,243 = 281,243 : x
  2. Step 2: Convert to fraction form
    130,933/281,243 = 281,243/x
  3. Step 3: Cross multiply
    130,933x = 281,243 × 281,243
  4. Step 4: Simplify right side
    130,933x = 79,097,625,049
  5. Step 5: Solve for x
    x = 79,097,625,049/130,933
  6. Step 6: Final answer
    x = 604,107.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.