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Finding the Third Proportional to 194,116 and 296,358

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Solution

The third proportional to 194,116 and 296,358 is: 452,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,116 : 296,358 = 296,358 : x
  2. Step 2: Convert to fraction form
    194,116/296,358 = 296,358/x
  3. Step 3: Cross multiply
    194,116x = 296,358 × 296,358
  4. Step 4: Simplify right side
    194,116x = 87,828,064,164
  5. Step 5: Solve for x
    x = 87,828,064,164/194,116
  6. Step 6: Final answer
    x = 452,451.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.