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Finding the Third Proportional to 140,764 and 212,361.50

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Solution

The third proportional to 140,764 and 212,361.50 is: 320,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,764 : 212,361.50 = 212,361.50 : x
  2. Step 2: Convert to fraction form
    140,764/212,361.50 = 212,361.50/x
  3. Step 3: Cross multiply
    140,764x = 212,361.50 × 212,361.50
  4. Step 4: Simplify right side
    140,764x = 45,097,406,682.25
  5. Step 5: Solve for x
    x = 45,097,406,682.25/140,764
  6. Step 6: Final answer
    x = 320,376.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.