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Finding the Third Proportional to 194,203.50 and 415,391

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Solution

The third proportional to 194,203.50 and 415,391 is: 888,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,203.50 : 415,391 = 415,391 : x
  2. Step 2: Convert to fraction form
    194,203.50/415,391 = 415,391/x
  3. Step 3: Cross multiply
    194,203.50x = 415,391 × 415,391
  4. Step 4: Simplify right side
    194,203.50x = 172,549,682,881
  5. Step 5: Solve for x
    x = 172,549,682,881/194,203.50
  6. Step 6: Final answer
    x = 888,499.35

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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.