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Finding the Third Proportional to 112,848 and 247,835

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Solution

The third proportional to 112,848 and 247,835 is: 544,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,848 : 247,835 = 247,835 : x
  2. Step 2: Convert to fraction form
    112,848/247,835 = 247,835/x
  3. Step 3: Cross multiply
    112,848x = 247,835 × 247,835
  4. Step 4: Simplify right side
    112,848x = 61,422,187,225
  5. Step 5: Solve for x
    x = 61,422,187,225/112,848
  6. Step 6: Final answer
    x = 544,291.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.