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Finding the Third Proportional to 212,199 and 288,361.50

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Solution

The third proportional to 212,199 and 288,361.50 is: 391,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,199 : 288,361.50 = 288,361.50 : x
  2. Step 2: Convert to fraction form
    212,199/288,361.50 = 288,361.50/x
  3. Step 3: Cross multiply
    212,199x = 288,361.50 × 288,361.50
  4. Step 4: Simplify right side
    212,199x = 83,152,354,682.25
  5. Step 5: Solve for x
    x = 83,152,354,682.25/212,199
  6. Step 6: Final answer
    x = 391,860.26

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.