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Finding the Third Proportional to 112,950 and 245,578.50

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Solution

The third proportional to 112,950 and 245,578.50 is: 533,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,950 : 245,578.50 = 245,578.50 : x
  2. Step 2: Convert to fraction form
    112,950/245,578.50 = 245,578.50/x
  3. Step 3: Cross multiply
    112,950x = 245,578.50 × 245,578.50
  4. Step 4: Simplify right side
    112,950x = 60,308,799,662.25
  5. Step 5: Solve for x
    x = 60,308,799,662.25/112,950
  6. Step 6: Final answer
    x = 533,942.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.