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Finding the Third Proportional to 145,695 and 225,012

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Solution

The third proportional to 145,695 and 225,012 is: 347,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,695 : 225,012 = 225,012 : x
  2. Step 2: Convert to fraction form
    145,695/225,012 = 225,012/x
  3. Step 3: Cross multiply
    145,695x = 225,012 × 225,012
  4. Step 4: Simplify right side
    145,695x = 50,630,400,144
  5. Step 5: Solve for x
    x = 50,630,400,144/145,695
  6. Step 6: Final answer
    x = 347,509.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.