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Finding the Third Proportional to 192,214 and 286,729.50

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Solution

The third proportional to 192,214 and 286,729.50 is: 427,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,214 : 286,729.50 = 286,729.50 : x
  2. Step 2: Convert to fraction form
    192,214/286,729.50 = 286,729.50/x
  3. Step 3: Cross multiply
    192,214x = 286,729.50 × 286,729.50
  4. Step 4: Simplify right side
    192,214x = 82,213,806,170.25
  5. Step 5: Solve for x
    x = 82,213,806,170.25/192,214
  6. Step 6: Final answer
    x = 427,720.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.