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Finding the Third Proportional to 155,349 and 207,634.50

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Solution

The third proportional to 155,349 and 207,634.50 is: 277,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,349 : 207,634.50 = 207,634.50 : x
  2. Step 2: Convert to fraction form
    155,349/207,634.50 = 207,634.50/x
  3. Step 3: Cross multiply
    155,349x = 207,634.50 × 207,634.50
  4. Step 4: Simplify right side
    155,349x = 43,112,085,590.25
  5. Step 5: Solve for x
    x = 43,112,085,590.25/155,349
  6. Step 6: Final answer
    x = 277,517.63

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.