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Finding the Third Proportional to 193,017.94 and 278,455.22

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Solution

The third proportional to 193,017.94 and 278,455.22 is: 401,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,017.94 : 278,455.22 = 278,455.22 : x
  2. Step 2: Convert to fraction form
    193,017.94/278,455.22 = 278,455.22/x
  3. Step 3: Cross multiply
    193,017.94x = 278,455.22 × 278,455.22
  4. Step 4: Simplify right side
    193,017.94x = 77,537,308,849.11
  5. Step 5: Solve for x
    x = 77,537,308,849.11/193,017.94
  6. Step 6: Final answer
    x = 401,710.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.