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Finding the Third Proportional to 163,954 and 386,881

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Solution

The third proportional to 163,954 and 386,881 is: 912,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,954 : 386,881 = 386,881 : x
  2. Step 2: Convert to fraction form
    163,954/386,881 = 386,881/x
  3. Step 3: Cross multiply
    163,954x = 386,881 × 386,881
  4. Step 4: Simplify right side
    163,954x = 149,676,908,161
  5. Step 5: Solve for x
    x = 149,676,908,161/163,954
  6. Step 6: Final answer
    x = 912,920.14

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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.