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Finding the Third Proportional to 137,668 and 282,748

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Solution

The third proportional to 137,668 and 282,748 is: 580,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,668 : 282,748 = 282,748 : x
  2. Step 2: Convert to fraction form
    137,668/282,748 = 282,748/x
  3. Step 3: Cross multiply
    137,668x = 282,748 × 282,748
  4. Step 4: Simplify right side
    137,668x = 79,946,431,504
  5. Step 5: Solve for x
    x = 79,946,431,504/137,668
  6. Step 6: Final answer
    x = 580,719.06

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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.