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Finding the Third Proportional to 149,013 and 290,533.50

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Solution

The third proportional to 149,013 and 290,533.50 is: 566,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,013 : 290,533.50 = 290,533.50 : x
  2. Step 2: Convert to fraction form
    149,013/290,533.50 = 290,533.50/x
  3. Step 3: Cross multiply
    149,013x = 290,533.50 × 290,533.50
  4. Step 4: Simplify right side
    149,013x = 84,409,714,622.25
  5. Step 5: Solve for x
    x = 84,409,714,622.25/149,013
  6. Step 6: Final answer
    x = 566,458.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.