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Finding the Third Proportional to 189,766 and 410,700

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Solution

The third proportional to 189,766 and 410,700 is: 888,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,766 : 410,700 = 410,700 : x
  2. Step 2: Convert to fraction form
    189,766/410,700 = 410,700/x
  3. Step 3: Cross multiply
    189,766x = 410,700 × 410,700
  4. Step 4: Simplify right side
    189,766x = 168,674,490,000
  5. Step 5: Solve for x
    x = 168,674,490,000/189,766
  6. Step 6: Final answer
    x = 888,855.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.