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Finding the Third Proportional to 148,746 and 324,564

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Solution

The third proportional to 148,746 and 324,564 is: 708,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,746 : 324,564 = 324,564 : x
  2. Step 2: Convert to fraction form
    148,746/324,564 = 324,564/x
  3. Step 3: Cross multiply
    148,746x = 324,564 × 324,564
  4. Step 4: Simplify right side
    148,746x = 105,341,790,096
  5. Step 5: Solve for x
    x = 105,341,790,096/148,746
  6. Step 6: Final answer
    x = 708,199.15

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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.