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Finding the Third Proportional to 148,672 and 324,992

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Solution

The third proportional to 148,672 and 324,992 is: 710,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,672 : 324,992 = 324,992 : x
  2. Step 2: Convert to fraction form
    148,672/324,992 = 324,992/x
  3. Step 3: Cross multiply
    148,672x = 324,992 × 324,992
  4. Step 4: Simplify right side
    148,672x = 105,619,800,064
  5. Step 5: Solve for x
    x = 105,619,800,064/148,672
  6. Step 6: Final answer
    x = 710,421.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.