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Finding the Third Proportional to 194,055 and 424,179

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Solution

The third proportional to 194,055 and 424,179 is: 927,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,055 : 424,179 = 424,179 : x
  2. Step 2: Convert to fraction form
    194,055/424,179 = 424,179/x
  3. Step 3: Cross multiply
    194,055x = 424,179 × 424,179
  4. Step 4: Simplify right side
    194,055x = 179,927,824,041
  5. Step 5: Solve for x
    x = 179,927,824,041/194,055
  6. Step 6: Final answer
    x = 927,200.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.