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Finding the Third Proportional to 171,628 and 371,848

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Solution

The third proportional to 171,628 and 371,848 is: 805,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,628 : 371,848 = 371,848 : x
  2. Step 2: Convert to fraction form
    171,628/371,848 = 371,848/x
  3. Step 3: Cross multiply
    171,628x = 371,848 × 371,848
  4. Step 4: Simplify right side
    171,628x = 138,270,935,104
  5. Step 5: Solve for x
    x = 138,270,935,104/171,628
  6. Step 6: Final answer
    x = 805,643.22

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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.