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Finding the Third Proportional to 133,079 and 288,619

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Solution

The third proportional to 133,079 and 288,619 is: 625,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,079 : 288,619 = 288,619 : x
  2. Step 2: Convert to fraction form
    133,079/288,619 = 288,619/x
  3. Step 3: Cross multiply
    133,079x = 288,619 × 288,619
  4. Step 4: Simplify right side
    133,079x = 83,300,927,161
  5. Step 5: Solve for x
    x = 83,300,927,161/133,079
  6. Step 6: Final answer
    x = 625,950.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.