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Finding the Third Proportional to 146,097 and 225,594

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Solution

The third proportional to 146,097 and 225,594 is: 348,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,097 : 225,594 = 225,594 : x
  2. Step 2: Convert to fraction form
    146,097/225,594 = 225,594/x
  3. Step 3: Cross multiply
    146,097x = 225,594 × 225,594
  4. Step 4: Simplify right side
    146,097x = 50,892,652,836
  5. Step 5: Solve for x
    x = 50,892,652,836/146,097
  6. Step 6: Final answer
    x = 348,348.38

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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.