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Finding the Third Proportional to 145,803 and 225,165

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Solution

The third proportional to 145,803 and 225,165 is: 347,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,803 : 225,165 = 225,165 : x
  2. Step 2: Convert to fraction form
    145,803/225,165 = 225,165/x
  3. Step 3: Cross multiply
    145,803x = 225,165 × 225,165
  4. Step 4: Simplify right side
    145,803x = 50,699,277,225
  5. Step 5: Solve for x
    x = 50,699,277,225/145,803
  6. Step 6: Final answer
    x = 347,724.51

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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.