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Finding the Third Proportional to 110,390 and 175,085.50

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Solution

The third proportional to 110,390 and 175,085.50 is: 277,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,390 : 175,085.50 = 175,085.50 : x
  2. Step 2: Convert to fraction form
    110,390/175,085.50 = 175,085.50/x
  3. Step 3: Cross multiply
    110,390x = 175,085.50 × 175,085.50
  4. Step 4: Simplify right side
    110,390x = 30,654,932,310.25
  5. Step 5: Solve for x
    x = 30,654,932,310.25/110,390
  6. Step 6: Final answer
    x = 277,696.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.