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Finding the Third Proportional to 146,052 and 225,522

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Solution

The third proportional to 146,052 and 225,522 is: 348,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,052 : 225,522 = 225,522 : x
  2. Step 2: Convert to fraction form
    146,052/225,522 = 225,522/x
  3. Step 3: Cross multiply
    146,052x = 225,522 × 225,522
  4. Step 4: Simplify right side
    146,052x = 50,860,172,484
  5. Step 5: Solve for x
    x = 50,860,172,484/146,052
  6. Step 6: Final answer
    x = 348,233.32

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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.