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Finding the Third Proportional to 110,980 and 170,196

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Solution

The third proportional to 110,980 and 170,196 is: 261,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,980 : 170,196 = 170,196 : x
  2. Step 2: Convert to fraction form
    110,980/170,196 = 170,196/x
  3. Step 3: Cross multiply
    110,980x = 170,196 × 170,196
  4. Step 4: Simplify right side
    110,980x = 28,966,678,416
  5. Step 5: Solve for x
    x = 28,966,678,416/110,980
  6. Step 6: Final answer
    x = 261,008.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.