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Finding the Third Proportional to 191,567 and 410,634

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Solution

The third proportional to 191,567 and 410,634 is: 880,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,567 : 410,634 = 410,634 : x
  2. Step 2: Convert to fraction form
    191,567/410,634 = 410,634/x
  3. Step 3: Cross multiply
    191,567x = 410,634 × 410,634
  4. Step 4: Simplify right side
    191,567x = 168,620,281,956
  5. Step 5: Solve for x
    x = 168,620,281,956/191,567
  6. Step 6: Final answer
    x = 880,215.70

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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.