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Finding the Third Proportional to 118,557.50 and 210,799.50

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Solution

The third proportional to 118,557.50 and 210,799.50 is: 374,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,557.50 : 210,799.50 = 210,799.50 : x
  2. Step 2: Convert to fraction form
    118,557.50/210,799.50 = 210,799.50/x
  3. Step 3: Cross multiply
    118,557.50x = 210,799.50 × 210,799.50
  4. Step 4: Simplify right side
    118,557.50x = 44,436,429,200.25
  5. Step 5: Solve for x
    x = 44,436,429,200.25/118,557.50
  6. Step 6: Final answer
    x = 374,809.09

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.