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Finding the Third Proportional to 145,093.50 and 221,933.25

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Solution

The third proportional to 145,093.50 and 221,933.25 is: 339,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,093.50 : 221,933.25 = 221,933.25 : x
  2. Step 2: Convert to fraction form
    145,093.50/221,933.25 = 221,933.25/x
  3. Step 3: Cross multiply
    145,093.50x = 221,933.25 × 221,933.25
  4. Step 4: Simplify right side
    145,093.50x = 49,254,367,455.56
  5. Step 5: Solve for x
    x = 49,254,367,455.56/145,093.50
  6. Step 6: Final answer
    x = 339,466.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.