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Finding the Third Proportional to 190,443 and 278,654

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Solution

The third proportional to 190,443 and 278,654 is: 407,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,443 : 278,654 = 278,654 : x
  2. Step 2: Convert to fraction form
    190,443/278,654 = 278,654/x
  3. Step 3: Cross multiply
    190,443x = 278,654 × 278,654
  4. Step 4: Simplify right side
    190,443x = 77,648,051,716
  5. Step 5: Solve for x
    x = 77,648,051,716/190,443
  6. Step 6: Final answer
    x = 407,723.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.