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Finding the Third Proportional to 170,254 and 345,372

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Solution

The third proportional to 170,254 and 345,372 is: 700,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,254 : 345,372 = 345,372 : x
  2. Step 2: Convert to fraction form
    170,254/345,372 = 345,372/x
  3. Step 3: Cross multiply
    170,254x = 345,372 × 345,372
  4. Step 4: Simplify right side
    170,254x = 119,281,818,384
  5. Step 5: Solve for x
    x = 119,281,818,384/170,254
  6. Step 6: Final answer
    x = 700,610.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.