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Finding the Third Proportional to 194,176 and 301,628

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Solution

The third proportional to 194,176 and 301,628 is: 468,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,176 : 301,628 = 301,628 : x
  2. Step 2: Convert to fraction form
    194,176/301,628 = 301,628/x
  3. Step 3: Cross multiply
    194,176x = 301,628 × 301,628
  4. Step 4: Simplify right side
    194,176x = 90,979,450,384
  5. Step 5: Solve for x
    x = 90,979,450,384/194,176
  6. Step 6: Final answer
    x = 468,541.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.