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Finding the Third Proportional to 155,817 and 340,794

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Solution

The third proportional to 155,817 and 340,794 is: 745,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,817 : 340,794 = 340,794 : x
  2. Step 2: Convert to fraction form
    155,817/340,794 = 340,794/x
  3. Step 3: Cross multiply
    155,817x = 340,794 × 340,794
  4. Step 4: Simplify right side
    155,817x = 116,140,550,436
  5. Step 5: Solve for x
    x = 116,140,550,436/155,817
  6. Step 6: Final answer
    x = 745,365.08

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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.