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Finding the Third Proportional to 189,116 and 288,696

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Solution

The third proportional to 189,116 and 288,696 is: 440,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,116 : 288,696 = 288,696 : x
  2. Step 2: Convert to fraction form
    189,116/288,696 = 288,696/x
  3. Step 3: Cross multiply
    189,116x = 288,696 × 288,696
  4. Step 4: Simplify right side
    189,116x = 83,345,380,416
  5. Step 5: Solve for x
    x = 83,345,380,416/189,116
  6. Step 6: Final answer
    x = 440,710.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.