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Finding the Third Proportional to 281,854 and 436,236

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Solution

The third proportional to 281,854 and 436,236 is: 675,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,854 : 436,236 = 436,236 : x
  2. Step 2: Convert to fraction form
    281,854/436,236 = 436,236/x
  3. Step 3: Cross multiply
    281,854x = 436,236 × 436,236
  4. Step 4: Simplify right side
    281,854x = 190,301,847,696
  5. Step 5: Solve for x
    x = 190,301,847,696/281,854
  6. Step 6: Final answer
    x = 675,178.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.