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Finding the Third Proportional to 193,102.50 and 403,848.75

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Solution

The third proportional to 193,102.50 and 403,848.75 is: 844,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,102.50 : 403,848.75 = 403,848.75 : x
  2. Step 2: Convert to fraction form
    193,102.50/403,848.75 = 403,848.75/x
  3. Step 3: Cross multiply
    193,102.50x = 403,848.75 × 403,848.75
  4. Step 4: Simplify right side
    193,102.50x = 163,093,812,876.56
  5. Step 5: Solve for x
    x = 163,093,812,876.56/193,102.50
  6. Step 6: Final answer
    x = 844,597.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.