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Finding the Third Proportional to 145,692 and 225,008

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Solution

The third proportional to 145,692 and 225,008 is: 347,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,692 : 225,008 = 225,008 : x
  2. Step 2: Convert to fraction form
    145,692/225,008 = 225,008/x
  3. Step 3: Cross multiply
    145,692x = 225,008 × 225,008
  4. Step 4: Simplify right side
    145,692x = 50,628,600,064
  5. Step 5: Solve for x
    x = 50,628,600,064/145,692
  6. Step 6: Final answer
    x = 347,504.32

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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.