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Finding the Third Proportional to 118,734 and 241,854

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Solution

The third proportional to 118,734 and 241,854 is: 492,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,734 : 241,854 = 241,854 : x
  2. Step 2: Convert to fraction form
    118,734/241,854 = 241,854/x
  3. Step 3: Cross multiply
    118,734x = 241,854 × 241,854
  4. Step 4: Simplify right side
    118,734x = 58,493,357,316
  5. Step 5: Solve for x
    x = 58,493,357,316/118,734
  6. Step 6: Final answer
    x = 492,642.02

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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.