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Finding the Third Proportional to 199,597.92 and 303,207.05

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Solution

The third proportional to 199,597.92 and 303,207.05 is: 460,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,597.92 : 303,207.05 = 303,207.05 : x
  2. Step 2: Convert to fraction form
    199,597.92/303,207.05 = 303,207.05/x
  3. Step 3: Cross multiply
    199,597.92x = 303,207.05 × 303,207.05
  4. Step 4: Simplify right side
    199,597.92x = 91,934,513,274.66
  5. Step 5: Solve for x
    x = 91,934,513,274.66/199,597.92
  6. Step 6: Final answer
    x = 460,598.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.