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Finding the Third Proportional to 118,414 and 247,772

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Solution

The third proportional to 118,414 and 247,772 is: 518,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,414 : 247,772 = 247,772 : x
  2. Step 2: Convert to fraction form
    118,414/247,772 = 247,772/x
  3. Step 3: Cross multiply
    118,414x = 247,772 × 247,772
  4. Step 4: Simplify right side
    118,414x = 61,390,963,984
  5. Step 5: Solve for x
    x = 61,390,963,984/118,414
  6. Step 6: Final answer
    x = 518,443.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.