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Finding the Third Proportional to 199,322.41 and 307,796.76

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Solution

The third proportional to 199,322.41 and 307,796.76 is: 475,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,322.41 : 307,796.76 = 307,796.76 : x
  2. Step 2: Convert to fraction form
    199,322.41/307,796.76 = 307,796.76/x
  3. Step 3: Cross multiply
    199,322.41x = 307,796.76 × 307,796.76
  4. Step 4: Simplify right side
    199,322.41x = 94,738,843,518.72
  5. Step 5: Solve for x
    x = 94,738,843,518.72/199,322.41
  6. Step 6: Final answer
    x = 475,304.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.