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Finding the Third Proportional to 194,148 and 415,289.25

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Solution

The third proportional to 194,148 and 415,289.25 is: 888,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,148 : 415,289.25 = 415,289.25 : x
  2. Step 2: Convert to fraction form
    194,148/415,289.25 = 415,289.25/x
  3. Step 3: Cross multiply
    194,148x = 415,289.25 × 415,289.25
  4. Step 4: Simplify right side
    194,148x = 172,465,161,165.56
  5. Step 5: Solve for x
    x = 172,465,161,165.56/194,148
  6. Step 6: Final answer
    x = 888,317.99

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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.