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Finding the Third Proportional to 193,807.69 and 284,139.14

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Solution

The third proportional to 193,807.69 and 284,139.14 is: 416,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,807.69 : 284,139.14 = 284,139.14 : x
  2. Step 2: Convert to fraction form
    193,807.69/284,139.14 = 284,139.14/x
  3. Step 3: Cross multiply
    193,807.69x = 284,139.14 × 284,139.14
  4. Step 4: Simplify right side
    193,807.69x = 80,735,051,235.11
  5. Step 5: Solve for x
    x = 80,735,051,235.11/193,807.69
  6. Step 6: Final answer
    x = 416,573.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.