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Finding the Third Proportional to 198,444.94 and 299,512.69

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Solution

The third proportional to 198,444.94 and 299,512.69 is: 452,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,444.94 : 299,512.69 = 299,512.69 : x
  2. Step 2: Convert to fraction form
    198,444.94/299,512.69 = 299,512.69/x
  3. Step 3: Cross multiply
    198,444.94x = 299,512.69 × 299,512.69
  4. Step 4: Simplify right side
    198,444.94x = 89,707,849,973.47
  5. Step 5: Solve for x
    x = 89,707,849,973.47/198,444.94
  6. Step 6: Final answer
    x = 452,054.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.