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Finding the Third Proportional to 214,019 and 451,897.50

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Solution

The third proportional to 214,019 and 451,897.50 is: 954,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,019 : 451,897.50 = 451,897.50 : x
  2. Step 2: Convert to fraction form
    214,019/451,897.50 = 451,897.50/x
  3. Step 3: Cross multiply
    214,019x = 451,897.50 × 451,897.50
  4. Step 4: Simplify right side
    214,019x = 204,211,350,506.25
  5. Step 5: Solve for x
    x = 204,211,350,506.25/214,019
  6. Step 6: Final answer
    x = 954,173.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.