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Finding the Third Proportional to 166,674 and 264,774

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Solution

The third proportional to 166,674 and 264,774 is: 420,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,674 : 264,774 = 264,774 : x
  2. Step 2: Convert to fraction form
    166,674/264,774 = 264,774/x
  3. Step 3: Cross multiply
    166,674x = 264,774 × 264,774
  4. Step 4: Simplify right side
    166,674x = 70,105,271,076
  5. Step 5: Solve for x
    x = 70,105,271,076/166,674
  6. Step 6: Final answer
    x = 420,613.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.