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Finding the Third Proportional to 152,862 and 203,871

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Solution

The third proportional to 152,862 and 203,871 is: 271,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,862 : 203,871 = 203,871 : x
  2. Step 2: Convert to fraction form
    152,862/203,871 = 203,871/x
  3. Step 3: Cross multiply
    152,862x = 203,871 × 203,871
  4. Step 4: Simplify right side
    152,862x = 41,563,384,641
  5. Step 5: Solve for x
    x = 41,563,384,641/152,862
  6. Step 6: Final answer
    x = 271,901.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.