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Finding the Third Proportional to 118,350 and 258,372

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Solution

The third proportional to 118,350 and 258,372 is: 564,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,350 : 258,372 = 258,372 : x
  2. Step 2: Convert to fraction form
    118,350/258,372 = 258,372/x
  3. Step 3: Cross multiply
    118,350x = 258,372 × 258,372
  4. Step 4: Simplify right side
    118,350x = 66,756,090,384
  5. Step 5: Solve for x
    x = 66,756,090,384/118,350
  6. Step 6: Final answer
    x = 564,056.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.