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Finding the Third Proportional to 160,926 and 342,642

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Solution

The third proportional to 160,926 and 342,642 is: 729,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,926 : 342,642 = 342,642 : x
  2. Step 2: Convert to fraction form
    160,926/342,642 = 342,642/x
  3. Step 3: Cross multiply
    160,926x = 342,642 × 342,642
  4. Step 4: Simplify right side
    160,926x = 117,403,540,164
  5. Step 5: Solve for x
    x = 117,403,540,164/160,926
  6. Step 6: Final answer
    x = 729,549.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.