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Finding the Third Proportional to 163,950 and 386,871

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Solution

The third proportional to 163,950 and 386,871 is: 912,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,950 : 386,871 = 386,871 : x
  2. Step 2: Convert to fraction form
    163,950/386,871 = 386,871/x
  3. Step 3: Cross multiply
    163,950x = 386,871 × 386,871
  4. Step 4: Simplify right side
    163,950x = 149,669,170,641
  5. Step 5: Solve for x
    x = 149,669,170,641/163,950
  6. Step 6: Final answer
    x = 912,895.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.