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Finding the Third Proportional to 193,630 and 419,426

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Solution

The third proportional to 193,630 and 419,426 is: 908,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,630 : 419,426 = 419,426 : x
  2. Step 2: Convert to fraction form
    193,630/419,426 = 419,426/x
  3. Step 3: Cross multiply
    193,630x = 419,426 × 419,426
  4. Step 4: Simplify right side
    193,630x = 175,918,169,476
  5. Step 5: Solve for x
    x = 175,918,169,476/193,630
  6. Step 6: Final answer
    x = 908,527.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.