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Finding the Third Proportional to 170,228 and 370,291

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Solution

The third proportional to 170,228 and 370,291 is: 805,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,228 : 370,291 = 370,291 : x
  2. Step 2: Convert to fraction form
    170,228/370,291 = 370,291/x
  3. Step 3: Cross multiply
    170,228x = 370,291 × 370,291
  4. Step 4: Simplify right side
    170,228x = 137,115,424,681
  5. Step 5: Solve for x
    x = 137,115,424,681/170,228
  6. Step 6: Final answer
    x = 805,481.03

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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.