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Finding the Third Proportional to 194,196 and 416,364

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Solution

The third proportional to 194,196 and 416,364 is: 892,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,196 : 416,364 = 416,364 : x
  2. Step 2: Convert to fraction form
    194,196/416,364 = 416,364/x
  3. Step 3: Cross multiply
    194,196x = 416,364 × 416,364
  4. Step 4: Simplify right side
    194,196x = 173,358,980,496
  5. Step 5: Solve for x
    x = 173,358,980,496/194,196
  6. Step 6: Final answer
    x = 892,701.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.