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Finding the Third Proportional to 197,492.63 and 297,983.81

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Solution

The third proportional to 197,492.63 and 297,983.81 is: 449,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,492.63 : 297,983.81 = 297,983.81 : x
  2. Step 2: Convert to fraction form
    197,492.63/297,983.81 = 297,983.81/x
  3. Step 3: Cross multiply
    197,492.63x = 297,983.81 × 297,983.81
  4. Step 4: Simplify right side
    197,492.63x = 88,794,352,512.04
  5. Step 5: Solve for x
    x = 88,794,352,512.04/197,492.63
  6. Step 6: Final answer
    x = 449,608.45

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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.