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Finding the Third Proportional to 118,238 and 242,002

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Solution

The third proportional to 118,238 and 242,002 is: 495,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,238 : 242,002 = 242,002 : x
  2. Step 2: Convert to fraction form
    118,238/242,002 = 242,002/x
  3. Step 3: Cross multiply
    118,238x = 242,002 × 242,002
  4. Step 4: Simplify right side
    118,238x = 58,564,968,004
  5. Step 5: Solve for x
    x = 58,564,968,004/118,238
  6. Step 6: Final answer
    x = 495,314.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.