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Finding the Third Proportional to 193,284 and 289,026

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Solution

The third proportional to 193,284 and 289,026 is: 432,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,284 : 289,026 = 289,026 : x
  2. Step 2: Convert to fraction form
    193,284/289,026 = 289,026/x
  3. Step 3: Cross multiply
    193,284x = 289,026 × 289,026
  4. Step 4: Simplify right side
    193,284x = 83,536,028,676
  5. Step 5: Solve for x
    x = 83,536,028,676/193,284
  6. Step 6: Final answer
    x = 432,193.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.