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Finding the Third Proportional to 174,618 and 377,059

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Solution

The third proportional to 174,618 and 377,059 is: 814,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,618 : 377,059 = 377,059 : x
  2. Step 2: Convert to fraction form
    174,618/377,059 = 377,059/x
  3. Step 3: Cross multiply
    174,618x = 377,059 × 377,059
  4. Step 4: Simplify right side
    174,618x = 142,173,489,481
  5. Step 5: Solve for x
    x = 142,173,489,481/174,618
  6. Step 6: Final answer
    x = 814,197.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.