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Finding the Third Proportional to 117,362.50 and 253,433.50

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Solution

The third proportional to 117,362.50 and 253,433.50 is: 547,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,362.50 : 253,433.50 = 253,433.50 : x
  2. Step 2: Convert to fraction form
    117,362.50/253,433.50 = 253,433.50/x
  3. Step 3: Cross multiply
    117,362.50x = 253,433.50 × 253,433.50
  4. Step 4: Simplify right side
    117,362.50x = 64,228,538,922.25
  5. Step 5: Solve for x
    x = 64,228,538,922.25/117,362.50
  6. Step 6: Final answer
    x = 547,266.28

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