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Finding the Third Proportional to 168,359.50 and 369,929

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Solution

The third proportional to 168,359.50 and 369,929 is: 812,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,359.50 : 369,929 = 369,929 : x
  2. Step 2: Convert to fraction form
    168,359.50/369,929 = 369,929/x
  3. Step 3: Cross multiply
    168,359.50x = 369,929 × 369,929
  4. Step 4: Simplify right side
    168,359.50x = 136,847,465,041
  5. Step 5: Solve for x
    x = 136,847,465,041/168,359.50
  6. Step 6: Final answer
    x = 812,828.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.