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Finding the Third Proportional to 194,197.50 and 420,016.50

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Solution

The third proportional to 194,197.50 and 420,016.50 is: 908,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,197.50 : 420,016.50 = 420,016.50 : x
  2. Step 2: Convert to fraction form
    194,197.50/420,016.50 = 420,016.50/x
  3. Step 3: Cross multiply
    194,197.50x = 420,016.50 × 420,016.50
  4. Step 4: Simplify right side
    194,197.50x = 176,413,860,272.25
  5. Step 5: Solve for x
    x = 176,413,860,272.25/194,197.50
  6. Step 6: Final answer
    x = 908,424.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.