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Finding the Third Proportional to 110,196 and 170,316

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Solution

The third proportional to 110,196 and 170,316 is: 263,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,196 : 170,316 = 170,316 : x
  2. Step 2: Convert to fraction form
    110,196/170,316 = 170,316/x
  3. Step 3: Cross multiply
    110,196x = 170,316 × 170,316
  4. Step 4: Simplify right side
    110,196x = 29,007,539,856
  5. Step 5: Solve for x
    x = 29,007,539,856/110,196
  6. Step 6: Final answer
    x = 263,235.87

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Why These Related Problems?

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