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Finding the Third Proportional to 151,300 and 212,043

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Solution

The third proportional to 151,300 and 212,043 is: 297,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,300 : 212,043 = 212,043 : x
  2. Step 2: Convert to fraction form
    151,300/212,043 = 212,043/x
  3. Step 3: Cross multiply
    151,300x = 212,043 × 212,043
  4. Step 4: Simplify right side
    151,300x = 44,962,233,849
  5. Step 5: Solve for x
    x = 44,962,233,849/151,300
  6. Step 6: Final answer
    x = 297,172.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.