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Finding the Third Proportional to 112,004.86 and 241,838.58

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Solution

The third proportional to 112,004.86 and 241,838.58 is: 522,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,004.86 : 241,838.58 = 241,838.58 : x
  2. Step 2: Convert to fraction form
    112,004.86/241,838.58 = 241,838.58/x
  3. Step 3: Cross multiply
    112,004.86x = 241,838.58 × 241,838.58
  4. Step 4: Simplify right side
    112,004.86x = 58,485,897,869.52
  5. Step 5: Solve for x
    x = 58,485,897,869.52/112,004.86
  6. Step 6: Final answer
    x = 522,172.86

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Why These Related Problems?

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