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Finding the Third Proportional to 148,005.98 and 324,180.98

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Solution

The third proportional to 148,005.98 and 324,180.98 is: 710,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,005.98 : 324,180.98 = 324,180.98 : x
  2. Step 2: Convert to fraction form
    148,005.98/324,180.98 = 324,180.98/x
  3. Step 3: Cross multiply
    148,005.98x = 324,180.98 × 324,180.98
  4. Step 4: Simplify right side
    148,005.98x = 105,093,310,630.34
  5. Step 5: Solve for x
    x = 105,093,310,630.34/148,005.98
  6. Step 6: Final answer
    x = 710,061.23

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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.