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Finding the Third Proportional to 215,973 and 243,037.50

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Solution

The third proportional to 215,973 and 243,037.50 is: 273,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,973 : 243,037.50 = 243,037.50 : x
  2. Step 2: Convert to fraction form
    215,973/243,037.50 = 243,037.50/x
  3. Step 3: Cross multiply
    215,973x = 243,037.50 × 243,037.50
  4. Step 4: Simplify right side
    215,973x = 59,067,226,406.25
  5. Step 5: Solve for x
    x = 59,067,226,406.25/215,973
  6. Step 6: Final answer
    x = 273,493.57

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.