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Finding the Third Proportional to 189,680 and 406,348

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Solution

The third proportional to 189,680 and 406,348 is: 870,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,680 : 406,348 = 406,348 : x
  2. Step 2: Convert to fraction form
    189,680/406,348 = 406,348/x
  3. Step 3: Cross multiply
    189,680x = 406,348 × 406,348
  4. Step 4: Simplify right side
    189,680x = 165,118,697,104
  5. Step 5: Solve for x
    x = 165,118,697,104/189,680
  6. Step 6: Final answer
    x = 870,511.90

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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.