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Finding the Third Proportional to 158,954 and 220,363

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Solution

The third proportional to 158,954 and 220,363 is: 305,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,954 : 220,363 = 220,363 : x
  2. Step 2: Convert to fraction form
    158,954/220,363 = 220,363/x
  3. Step 3: Cross multiply
    158,954x = 220,363 × 220,363
  4. Step 4: Simplify right side
    158,954x = 48,559,851,769
  5. Step 5: Solve for x
    x = 48,559,851,769/158,954
  6. Step 6: Final answer
    x = 305,496.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.