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Finding the Third Proportional to 194,184 and 305,127

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Solution

The third proportional to 194,184 and 305,127 is: 479,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,184 : 305,127 = 305,127 : x
  2. Step 2: Convert to fraction form
    194,184/305,127 = 305,127/x
  3. Step 3: Cross multiply
    194,184x = 305,127 × 305,127
  4. Step 4: Simplify right side
    194,184x = 93,102,486,129
  5. Step 5: Solve for x
    x = 93,102,486,129/194,184
  6. Step 6: Final answer
    x = 479,454.98

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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.