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Finding the Third Proportional to 194,224 and 433,646

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Solution

The third proportional to 194,224 and 433,646 is: 968,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,224 : 433,646 = 433,646 : x
  2. Step 2: Convert to fraction form
    194,224/433,646 = 433,646/x
  3. Step 3: Cross multiply
    194,224x = 433,646 × 433,646
  4. Step 4: Simplify right side
    194,224x = 188,048,853,316
  5. Step 5: Solve for x
    x = 188,048,853,316/194,224
  6. Step 6: Final answer
    x = 968,206.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.