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Finding the Third Proportional to 189,998 and 406,543

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Solution

The third proportional to 189,998 and 406,543 is: 869,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,998 : 406,543 = 406,543 : x
  2. Step 2: Convert to fraction form
    189,998/406,543 = 406,543/x
  3. Step 3: Cross multiply
    189,998x = 406,543 × 406,543
  4. Step 4: Simplify right side
    189,998x = 165,277,210,849
  5. Step 5: Solve for x
    x = 165,277,210,849/189,998
  6. Step 6: Final answer
    x = 869,889.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.