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Finding the Third Proportional to 148,668 and 211,929

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Solution

The third proportional to 148,668 and 211,929 is: 302,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,668 : 211,929 = 211,929 : x
  2. Step 2: Convert to fraction form
    148,668/211,929 = 211,929/x
  3. Step 3: Cross multiply
    148,668x = 211,929 × 211,929
  4. Step 4: Simplify right side
    148,668x = 44,913,901,041
  5. Step 5: Solve for x
    x = 44,913,901,041/148,668
  6. Step 6: Final answer
    x = 302,108.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.