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Finding the Third Proportional to 197,508.38 and 465,955.88

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Solution

The third proportional to 197,508.38 and 465,955.88 is: 1,099,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,508.38 : 465,955.88 = 465,955.88 : x
  2. Step 2: Convert to fraction form
    197,508.38/465,955.88 = 465,955.88/x
  3. Step 3: Cross multiply
    197,508.38x = 465,955.88 × 465,955.88
  4. Step 4: Simplify right side
    197,508.38x = 217,114,877,447.02
  5. Step 5: Solve for x
    x = 217,114,877,447.02/197,508.38
  6. Step 6: Final answer
    x = 1,099,269.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.