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Finding the Third Proportional to 89,284 and 190,677

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Solution

The third proportional to 89,284 and 190,677 is: 407,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,284 : 190,677 = 190,677 : x
  2. Step 2: Convert to fraction form
    89,284/190,677 = 190,677/x
  3. Step 3: Cross multiply
    89,284x = 190,677 × 190,677
  4. Step 4: Simplify right side
    89,284x = 36,357,718,329
  5. Step 5: Solve for x
    x = 36,357,718,329/89,284
  6. Step 6: Final answer
    x = 407,214.26

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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.