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Finding the Third Proportional to 194,838 and 300,465

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Solution

The third proportional to 194,838 and 300,465 is: 463,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,838 : 300,465 = 300,465 : x
  2. Step 2: Convert to fraction form
    194,838/300,465 = 300,465/x
  3. Step 3: Cross multiply
    194,838x = 300,465 × 300,465
  4. Step 4: Simplify right side
    194,838x = 90,279,216,225
  5. Step 5: Solve for x
    x = 90,279,216,225/194,838
  6. Step 6: Final answer
    x = 463,355.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.