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Finding the Third Proportional to 118,670 and 241,746

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Solution

The third proportional to 118,670 and 241,746 is: 492,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,670 : 241,746 = 241,746 : x
  2. Step 2: Convert to fraction form
    118,670/241,746 = 241,746/x
  3. Step 3: Cross multiply
    118,670x = 241,746 × 241,746
  4. Step 4: Simplify right side
    118,670x = 58,441,128,516
  5. Step 5: Solve for x
    x = 58,441,128,516/118,670
  6. Step 6: Final answer
    x = 492,467.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.