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Finding the Third Proportional to 170,256 and 370,296

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Solution

The third proportional to 170,256 and 370,296 is: 805,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,256 : 370,296 = 370,296 : x
  2. Step 2: Convert to fraction form
    170,256/370,296 = 370,296/x
  3. Step 3: Cross multiply
    170,256x = 370,296 × 370,296
  4. Step 4: Simplify right side
    170,256x = 137,119,127,616
  5. Step 5: Solve for x
    x = 137,119,127,616/170,256
  6. Step 6: Final answer
    x = 805,370.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.