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Finding the Third Proportional to 170,040 and 371,164

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Solution

The third proportional to 170,040 and 371,164 is: 810,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,040 : 371,164 = 371,164 : x
  2. Step 2: Convert to fraction form
    170,040/371,164 = 371,164/x
  3. Step 3: Cross multiply
    170,040x = 371,164 × 371,164
  4. Step 4: Simplify right side
    170,040x = 137,762,714,896
  5. Step 5: Solve for x
    x = 137,762,714,896/170,040
  6. Step 6: Final answer
    x = 810,178.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.