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Finding the Third Proportional to 112,296 and 243,477.75

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Solution

The third proportional to 112,296 and 243,477.75 is: 527,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,296 : 243,477.75 = 243,477.75 : x
  2. Step 2: Convert to fraction form
    112,296/243,477.75 = 243,477.75/x
  3. Step 3: Cross multiply
    112,296x = 243,477.75 × 243,477.75
  4. Step 4: Simplify right side
    112,296x = 59,281,414,745.06
  5. Step 5: Solve for x
    x = 59,281,414,745.06/112,296
  6. Step 6: Final answer
    x = 527,903.17

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Why These Related Problems?

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