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Finding the Third Proportional to 98,218.50 and 210,774

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Solution

The third proportional to 98,218.50 and 210,774 is: 452,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,218.50 : 210,774 = 210,774 : x
  2. Step 2: Convert to fraction form
    98,218.50/210,774 = 210,774/x
  3. Step 3: Cross multiply
    98,218.50x = 210,774 × 210,774
  4. Step 4: Simplify right side
    98,218.50x = 44,425,679,076
  5. Step 5: Solve for x
    x = 44,425,679,076/98,218.50
  6. Step 6: Final answer
    x = 452,314.78

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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.