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Finding the Third Proportional to 137,682 and 301,284

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Solution

The third proportional to 137,682 and 301,284 is: 659,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,682 : 301,284 = 301,284 : x
  2. Step 2: Convert to fraction form
    137,682/301,284 = 301,284/x
  3. Step 3: Cross multiply
    137,682x = 301,284 × 301,284
  4. Step 4: Simplify right side
    137,682x = 90,772,048,656
  5. Step 5: Solve for x
    x = 90,772,048,656/137,682
  6. Step 6: Final answer
    x = 659,287.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.