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Finding the Third Proportional to 194,120 and 296,364

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Solution

The third proportional to 194,120 and 296,364 is: 452,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,120 : 296,364 = 296,364 : x
  2. Step 2: Convert to fraction form
    194,120/296,364 = 296,364/x
  3. Step 3: Cross multiply
    194,120x = 296,364 × 296,364
  4. Step 4: Simplify right side
    194,120x = 87,831,620,496
  5. Step 5: Solve for x
    x = 87,831,620,496/194,120
  6. Step 6: Final answer
    x = 452,460.44

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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.