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Finding the Third Proportional to 118,216 and 262,672

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Solution

The third proportional to 118,216 and 262,672 is: 583,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,216 : 262,672 = 262,672 : x
  2. Step 2: Convert to fraction form
    118,216/262,672 = 262,672/x
  3. Step 3: Cross multiply
    118,216x = 262,672 × 262,672
  4. Step 4: Simplify right side
    118,216x = 68,996,579,584
  5. Step 5: Solve for x
    x = 68,996,579,584/118,216
  6. Step 6: Final answer
    x = 583,648.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.