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Finding the Third Proportional to 194,448 and 304,640

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Solution

The third proportional to 194,448 and 304,640 is: 477,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,448 : 304,640 = 304,640 : x
  2. Step 2: Convert to fraction form
    194,448/304,640 = 304,640/x
  3. Step 3: Cross multiply
    194,448x = 304,640 × 304,640
  4. Step 4: Simplify right side
    194,448x = 92,805,529,600
  5. Step 5: Solve for x
    x = 92,805,529,600/194,448
  6. Step 6: Final answer
    x = 477,276.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.