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Finding the Third Proportional to 194,457.38 and 415,888.88

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Solution

The third proportional to 194,457.38 and 415,888.88 is: 889,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,457.38 : 415,888.88 = 415,888.88 : x
  2. Step 2: Convert to fraction form
    194,457.38/415,888.88 = 415,888.88/x
  3. Step 3: Cross multiply
    194,457.38x = 415,888.88 × 415,888.88
  4. Step 4: Simplify right side
    194,457.38x = 172,963,556,348.77
  5. Step 5: Solve for x
    x = 172,963,556,348.77/194,457.38
  6. Step 6: Final answer
    x = 889,467.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.