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Finding the Third Proportional to 146,352 and 225,936

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Solution

The third proportional to 146,352 and 225,936 is: 348,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,352 : 225,936 = 225,936 : x
  2. Step 2: Convert to fraction form
    146,352/225,936 = 225,936/x
  3. Step 3: Cross multiply
    146,352x = 225,936 × 225,936
  4. Step 4: Simplify right side
    146,352x = 51,047,076,096
  5. Step 5: Solve for x
    x = 51,047,076,096/146,352
  6. Step 6: Final answer
    x = 348,796.57

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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.