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Finding the Third Proportional to 170,740 and 372,584

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Solution

The third proportional to 170,740 and 372,584 is: 813,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,740 : 372,584 = 372,584 : x
  2. Step 2: Convert to fraction form
    170,740/372,584 = 372,584/x
  3. Step 3: Cross multiply
    170,740x = 372,584 × 372,584
  4. Step 4: Simplify right side
    170,740x = 138,818,837,056
  5. Step 5: Solve for x
    x = 138,818,837,056/170,740
  6. Step 6: Final answer
    x = 813,042.27

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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.