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Finding the Third Proportional to 144,835 and 212,067.50

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Solution

The third proportional to 144,835 and 212,067.50 is: 310,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,835 : 212,067.50 = 212,067.50 : x
  2. Step 2: Convert to fraction form
    144,835/212,067.50 = 212,067.50/x
  3. Step 3: Cross multiply
    144,835x = 212,067.50 × 212,067.50
  4. Step 4: Simplify right side
    144,835x = 44,972,624,556.25
  5. Step 5: Solve for x
    x = 44,972,624,556.25/144,835
  6. Step 6: Final answer
    x = 310,509.37

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Why These Related Problems?

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