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Finding the Third Proportional to 148,398.75 and 330,021

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Solution

The third proportional to 148,398.75 and 330,021 is: 733,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,398.75 : 330,021 = 330,021 : x
  2. Step 2: Convert to fraction form
    148,398.75/330,021 = 330,021/x
  3. Step 3: Cross multiply
    148,398.75x = 330,021 × 330,021
  4. Step 4: Simplify right side
    148,398.75x = 108,913,860,441
  5. Step 5: Solve for x
    x = 108,913,860,441/148,398.75
  6. Step 6: Final answer
    x = 733,927.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.