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Finding the Third Proportional to 98,295 and 210,927

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Solution

The third proportional to 98,295 and 210,927 is: 452,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,295 : 210,927 = 210,927 : x
  2. Step 2: Convert to fraction form
    98,295/210,927 = 210,927/x
  3. Step 3: Cross multiply
    98,295x = 210,927 × 210,927
  4. Step 4: Simplify right side
    98,295x = 44,490,199,329
  5. Step 5: Solve for x
    x = 44,490,199,329/98,295
  6. Step 6: Final answer
    x = 452,619.15

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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.