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Finding the Third Proportional to 148,668 and 229,558.50

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Solution

The third proportional to 148,668 and 229,558.50 is: 354,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,668 : 229,558.50 = 229,558.50 : x
  2. Step 2: Convert to fraction form
    148,668/229,558.50 = 229,558.50/x
  3. Step 3: Cross multiply
    148,668x = 229,558.50 × 229,558.50
  4. Step 4: Simplify right side
    148,668x = 52,697,104,922.25
  5. Step 5: Solve for x
    x = 52,697,104,922.25/148,668
  6. Step 6: Final answer
    x = 354,461.65

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.