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Finding the Third Proportional to 146,025 and 225,486

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Solution

The third proportional to 146,025 and 225,486 is: 348,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,025 : 225,486 = 225,486 : x
  2. Step 2: Convert to fraction form
    146,025/225,486 = 225,486/x
  3. Step 3: Cross multiply
    146,025x = 225,486 × 225,486
  4. Step 4: Simplify right side
    146,025x = 50,843,936,196
  5. Step 5: Solve for x
    x = 50,843,936,196/146,025
  6. Step 6: Final answer
    x = 348,186.52

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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.