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Finding the Third Proportional to 118,401.75 and 253,597.50

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Solution

The third proportional to 118,401.75 and 253,597.50 is: 543,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,401.75 : 253,597.50 = 253,597.50 : x
  2. Step 2: Convert to fraction form
    118,401.75/253,597.50 = 253,597.50/x
  3. Step 3: Cross multiply
    118,401.75x = 253,597.50 × 253,597.50
  4. Step 4: Simplify right side
    118,401.75x = 64,311,692,006.25
  5. Step 5: Solve for x
    x = 64,311,692,006.25/118,401.75
  6. Step 6: Final answer
    x = 543,165.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.