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Finding the Third Proportional to 194,300.81 and 418,126.31

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Solution

The third proportional to 194,300.81 and 418,126.31 is: 899,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,300.81 : 418,126.31 = 418,126.31 : x
  2. Step 2: Convert to fraction form
    194,300.81/418,126.31 = 418,126.31/x
  3. Step 3: Cross multiply
    194,300.81x = 418,126.31 × 418,126.31
  4. Step 4: Simplify right side
    194,300.81x = 174,829,613,204.85
  5. Step 5: Solve for x
    x = 174,829,613,204.85/194,300.81
  6. Step 6: Final answer
    x = 899,788.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.