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Finding the Third Proportional to 110,207 and 170,333

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Solution

The third proportional to 110,207 and 170,333 is: 263,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,207 : 170,333 = 170,333 : x
  2. Step 2: Convert to fraction form
    110,207/170,333 = 170,333/x
  3. Step 3: Cross multiply
    110,207x = 170,333 × 170,333
  4. Step 4: Simplify right side
    110,207x = 29,013,330,889
  5. Step 5: Solve for x
    x = 29,013,330,889/110,207
  6. Step 6: Final answer
    x = 263,262.14

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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.