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Finding the Third Proportional to 170,896 and 370,907

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Solution

The third proportional to 170,896 and 370,907 is: 805,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,896 : 370,907 = 370,907 : x
  2. Step 2: Convert to fraction form
    170,896/370,907 = 370,907/x
  3. Step 3: Cross multiply
    170,896x = 370,907 × 370,907
  4. Step 4: Simplify right side
    170,896x = 137,572,002,649
  5. Step 5: Solve for x
    x = 137,572,002,649/170,896
  6. Step 6: Final answer
    x = 805,004.23

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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.