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Finding the Third Proportional to 104,295.94 and 242,628.75

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Solution

The third proportional to 104,295.94 and 242,628.75 is: 564,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,295.94 : 242,628.75 = 242,628.75 : x
  2. Step 2: Convert to fraction form
    104,295.94/242,628.75 = 242,628.75/x
  3. Step 3: Cross multiply
    104,295.94x = 242,628.75 × 242,628.75
  4. Step 4: Simplify right side
    104,295.94x = 58,868,710,326.56
  5. Step 5: Solve for x
    x = 58,868,710,326.56/104,295.94
  6. Step 6: Final answer
    x = 564,439.15

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.