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Finding the Third Proportional to 170,301 and 361,356

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Solution

The third proportional to 170,301 and 361,356 is: 766,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,301 : 361,356 = 361,356 : x
  2. Step 2: Convert to fraction form
    170,301/361,356 = 361,356/x
  3. Step 3: Cross multiply
    170,301x = 361,356 × 361,356
  4. Step 4: Simplify right side
    170,301x = 130,578,158,736
  5. Step 5: Solve for x
    x = 130,578,158,736/170,301
  6. Step 6: Final answer
    x = 766,749.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.