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Finding the Third Proportional to 98,302 and 210,941

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Solution

The third proportional to 98,302 and 210,941 is: 452,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,302 : 210,941 = 210,941 : x
  2. Step 2: Convert to fraction form
    98,302/210,941 = 210,941/x
  3. Step 3: Cross multiply
    98,302x = 210,941 × 210,941
  4. Step 4: Simplify right side
    98,302x = 44,496,105,481
  5. Step 5: Solve for x
    x = 44,496,105,481/98,302
  6. Step 6: Final answer
    x = 452,647.00

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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.