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Finding the Third Proportional to 189,624 and 406,235

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Solution

The third proportional to 189,624 and 406,235 is: 870,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,624 : 406,235 = 406,235 : x
  2. Step 2: Convert to fraction form
    189,624/406,235 = 406,235/x
  3. Step 3: Cross multiply
    189,624x = 406,235 × 406,235
  4. Step 4: Simplify right side
    189,624x = 165,026,875,225
  5. Step 5: Solve for x
    x = 165,026,875,225/189,624
  6. Step 6: Final answer
    x = 870,284.75

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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.