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Finding the Third Proportional to 168,723.63 and 237,298.04

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Solution

The third proportional to 168,723.63 and 237,298.04 is: 333,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,723.63 : 237,298.04 = 237,298.04 : x
  2. Step 2: Convert to fraction form
    168,723.63/237,298.04 = 237,298.04/x
  3. Step 3: Cross multiply
    168,723.63x = 237,298.04 × 237,298.04
  4. Step 4: Simplify right side
    168,723.63x = 56,310,361,196.80
  5. Step 5: Solve for x
    x = 56,310,361,196.80/168,723.63
  6. Step 6: Final answer
    x = 333,743.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.