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Finding the Third Proportional to 189,980 and 401,320

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Solution

The third proportional to 189,980 and 401,320 is: 847,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,980 : 401,320 = 401,320 : x
  2. Step 2: Convert to fraction form
    189,980/401,320 = 401,320/x
  3. Step 3: Cross multiply
    189,980x = 401,320 × 401,320
  4. Step 4: Simplify right side
    189,980x = 161,057,742,400
  5. Step 5: Solve for x
    x = 161,057,742,400/189,980
  6. Step 6: Final answer
    x = 847,761.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.