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Finding the Third Proportional to 148,491 and 302,166

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Solution

The third proportional to 148,491 and 302,166 is: 614,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,491 : 302,166 = 302,166 : x
  2. Step 2: Convert to fraction form
    148,491/302,166 = 302,166/x
  3. Step 3: Cross multiply
    148,491x = 302,166 × 302,166
  4. Step 4: Simplify right side
    148,491x = 91,304,291,556
  5. Step 5: Solve for x
    x = 91,304,291,556/148,491
  6. Step 6: Final answer
    x = 614,880.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.