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Finding the Third Proportional to 148,904 and 324,570

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Solution

The third proportional to 148,904 and 324,570 is: 707,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,904 : 324,570 = 324,570 : x
  2. Step 2: Convert to fraction form
    148,904/324,570 = 324,570/x
  3. Step 3: Cross multiply
    148,904x = 324,570 × 324,570
  4. Step 4: Simplify right side
    148,904x = 105,345,684,900
  5. Step 5: Solve for x
    x = 105,345,684,900/148,904
  6. Step 6: Final answer
    x = 707,473.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.