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Finding the Third Proportional to 144,835.50 and 212,068

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Solution

The third proportional to 144,835.50 and 212,068 is: 310,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,835.50 : 212,068 = 212,068 : x
  2. Step 2: Convert to fraction form
    144,835.50/212,068 = 212,068/x
  3. Step 3: Cross multiply
    144,835.50x = 212,068 × 212,068
  4. Step 4: Simplify right side
    144,835.50x = 44,972,836,624
  5. Step 5: Solve for x
    x = 44,972,836,624/144,835.50
  6. Step 6: Final answer
    x = 310,509.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.