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Finding the Third Proportional to 199,597.92 and 308,315.74

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Solution

The third proportional to 199,597.92 and 308,315.74 is: 476,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,597.92 : 308,315.74 = 308,315.74 : x
  2. Step 2: Convert to fraction form
    199,597.92/308,315.74 = 308,315.74/x
  3. Step 3: Cross multiply
    199,597.92x = 308,315.74 × 308,315.74
  4. Step 4: Simplify right side
    199,597.92x = 95,058,596,880.63
  5. Step 5: Solve for x
    x = 95,058,596,880.63/199,597.92
  6. Step 6: Final answer
    x = 476,250.43

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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.