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Finding the Third Proportional to 191,566.69 and 410,639.63

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Solution

The third proportional to 191,566.69 and 410,639.63 is: 880,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,566.69 : 410,639.63 = 410,639.63 : x
  2. Step 2: Convert to fraction form
    191,566.69/410,639.63 = 410,639.63/x
  3. Step 3: Cross multiply
    191,566.69x = 410,639.63 × 410,639.63
  4. Step 4: Simplify right side
    191,566.69x = 168,624,901,620.14
  5. Step 5: Solve for x
    x = 168,624,901,620.14/191,566.69
  6. Step 6: Final answer
    x = 880,241.26

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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.