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Finding the Third Proportional to 148,034.50 and 213,668.50

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Solution

The third proportional to 148,034.50 and 213,668.50 is: 308,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,034.50 : 213,668.50 = 213,668.50 : x
  2. Step 2: Convert to fraction form
    148,034.50/213,668.50 = 213,668.50/x
  3. Step 3: Cross multiply
    148,034.50x = 213,668.50 × 213,668.50
  4. Step 4: Simplify right side
    148,034.50x = 45,654,227,892.25
  5. Step 5: Solve for x
    x = 45,654,227,892.25/148,034.50
  6. Step 6: Final answer
    x = 308,402.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.