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Finding the Third Proportional to 189,980 and 405,386

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Solution

The third proportional to 189,980 and 405,386 is: 865,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,980 : 405,386 = 405,386 : x
  2. Step 2: Convert to fraction form
    189,980/405,386 = 405,386/x
  3. Step 3: Cross multiply
    189,980x = 405,386 × 405,386
  4. Step 4: Simplify right side
    189,980x = 164,337,808,996
  5. Step 5: Solve for x
    x = 164,337,808,996/189,980
  6. Step 6: Final answer
    x = 865,026.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.