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Finding the Third Proportional to 212,878 and 354,781.50

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Solution

The third proportional to 212,878 and 354,781.50 is: 591,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,878 : 354,781.50 = 354,781.50 : x
  2. Step 2: Convert to fraction form
    212,878/354,781.50 = 354,781.50/x
  3. Step 3: Cross multiply
    212,878x = 354,781.50 × 354,781.50
  4. Step 4: Simplify right side
    212,878x = 125,869,912,742.25
  5. Step 5: Solve for x
    x = 125,869,912,742.25/212,878
  6. Step 6: Final answer
    x = 591,277.22

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.