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Finding the Third Proportional to 110,229 and 170,369

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Solution

The third proportional to 110,229 and 170,369 is: 263,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,229 : 170,369 = 170,369 : x
  2. Step 2: Convert to fraction form
    110,229/170,369 = 170,369/x
  3. Step 3: Cross multiply
    110,229x = 170,369 × 170,369
  4. Step 4: Simplify right side
    110,229x = 29,025,596,161
  5. Step 5: Solve for x
    x = 29,025,596,161/110,229
  6. Step 6: Final answer
    x = 263,320.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.