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Finding the Third Proportional to 162,786 and 333,489

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Solution

The third proportional to 162,786 and 333,489 is: 683,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,786 : 333,489 = 333,489 : x
  2. Step 2: Convert to fraction form
    162,786/333,489 = 333,489/x
  3. Step 3: Cross multiply
    162,786x = 333,489 × 333,489
  4. Step 4: Simplify right side
    162,786x = 111,214,913,121
  5. Step 5: Solve for x
    x = 111,214,913,121/162,786
  6. Step 6: Final answer
    x = 683,197.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.