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Finding the Third Proportional to 118,990.50 and 258,717

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Solution

The third proportional to 118,990.50 and 258,717 is: 562,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,990.50 : 258,717 = 258,717 : x
  2. Step 2: Convert to fraction form
    118,990.50/258,717 = 258,717/x
  3. Step 3: Cross multiply
    118,990.50x = 258,717 × 258,717
  4. Step 4: Simplify right side
    118,990.50x = 66,934,486,089
  5. Step 5: Solve for x
    x = 66,934,486,089/118,990.50
  6. Step 6: Final answer
    x = 562,519.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.