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Finding the Third Proportional to 194,645 and 295,613

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Solution

The third proportional to 194,645 and 295,613 is: 448,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,645 : 295,613 = 295,613 : x
  2. Step 2: Convert to fraction form
    194,645/295,613 = 295,613/x
  3. Step 3: Cross multiply
    194,645x = 295,613 × 295,613
  4. Step 4: Simplify right side
    194,645x = 87,387,045,769
  5. Step 5: Solve for x
    x = 87,387,045,769/194,645
  6. Step 6: Final answer
    x = 448,956.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.