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Finding the Third Proportional to 199,806.75 and 427,953.38

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Solution

The third proportional to 199,806.75 and 427,953.38 is: 916,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,806.75 : 427,953.38 = 427,953.38 : x
  2. Step 2: Convert to fraction form
    199,806.75/427,953.38 = 427,953.38/x
  3. Step 3: Cross multiply
    199,806.75x = 427,953.38 × 427,953.38
  4. Step 4: Simplify right side
    199,806.75x = 183,144,091,173.89
  5. Step 5: Solve for x
    x = 183,144,091,173.89/199,806.75
  6. Step 6: Final answer
    x = 916,606.13

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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.