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Finding the Third Proportional to 194,854.50 and 427,983

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Solution

The third proportional to 194,854.50 and 427,983 is: 940,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,854.50 : 427,983 = 427,983 : x
  2. Step 2: Convert to fraction form
    194,854.50/427,983 = 427,983/x
  3. Step 3: Cross multiply
    194,854.50x = 427,983 × 427,983
  4. Step 4: Simplify right side
    194,854.50x = 183,169,448,289
  5. Step 5: Solve for x
    x = 183,169,448,289/194,854.50
  6. Step 6: Final answer
    x = 940,031.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.