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Finding the Third Proportional to 190,442 and 363,604

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Solution

The third proportional to 190,442 and 363,604 is: 694,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,442 : 363,604 = 363,604 : x
  2. Step 2: Convert to fraction form
    190,442/363,604 = 363,604/x
  3. Step 3: Cross multiply
    190,442x = 363,604 × 363,604
  4. Step 4: Simplify right side
    190,442x = 132,207,868,816
  5. Step 5: Solve for x
    x = 132,207,868,816/190,442
  6. Step 6: Final answer
    x = 694,215.92

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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.