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Finding the Third Proportional to 179,462 and 388,642

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Solution

The third proportional to 179,462 and 388,642 is: 841,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,462 : 388,642 = 388,642 : x
  2. Step 2: Convert to fraction form
    179,462/388,642 = 388,642/x
  3. Step 3: Cross multiply
    179,462x = 388,642 × 388,642
  4. Step 4: Simplify right side
    179,462x = 151,042,604,164
  5. Step 5: Solve for x
    x = 151,042,604,164/179,462
  6. Step 6: Final answer
    x = 841,641.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.