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Finding the Third Proportional to 193,590 and 415,197

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Solution

The third proportional to 193,590 and 415,197 is: 890,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,590 : 415,197 = 415,197 : x
  2. Step 2: Convert to fraction form
    193,590/415,197 = 415,197/x
  3. Step 3: Cross multiply
    193,590x = 415,197 × 415,197
  4. Step 4: Simplify right side
    193,590x = 172,388,548,809
  5. Step 5: Solve for x
    x = 172,388,548,809/193,590
  6. Step 6: Final answer
    x = 890,482.72

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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.