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Finding the Third Proportional to 190,464 and 363,648

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Solution

The third proportional to 190,464 and 363,648 is: 694,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,464 : 363,648 = 363,648 : x
  2. Step 2: Convert to fraction form
    190,464/363,648 = 363,648/x
  3. Step 3: Cross multiply
    190,464x = 363,648 × 363,648
  4. Step 4: Simplify right side
    190,464x = 132,239,867,904
  5. Step 5: Solve for x
    x = 132,239,867,904/190,464
  6. Step 6: Final answer
    x = 694,303.74

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.