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Finding the Third Proportional to 98,284.50 and 210,591

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Solution

The third proportional to 98,284.50 and 210,591 is: 451,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,284.50 : 210,591 = 210,591 : x
  2. Step 2: Convert to fraction form
    98,284.50/210,591 = 210,591/x
  3. Step 3: Cross multiply
    98,284.50x = 210,591 × 210,591
  4. Step 4: Simplify right side
    98,284.50x = 44,348,569,281
  5. Step 5: Solve for x
    x = 44,348,569,281/98,284.50
  6. Step 6: Final answer
    x = 451,226.48

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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.