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Finding the Third Proportional to 194,029.50 and 416,409

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Solution

The third proportional to 194,029.50 and 416,409 is: 893,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,029.50 : 416,409 = 416,409 : x
  2. Step 2: Convert to fraction form
    194,029.50/416,409 = 416,409/x
  3. Step 3: Cross multiply
    194,029.50x = 416,409 × 416,409
  4. Step 4: Simplify right side
    194,029.50x = 173,396,455,281
  5. Step 5: Solve for x
    x = 173,396,455,281/194,029.50
  6. Step 6: Final answer
    x = 893,660.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.