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Finding the Third Proportional to 205,132.50 and 443,071.50

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Solution

The third proportional to 205,132.50 and 443,071.50 is: 957,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,132.50 : 443,071.50 = 443,071.50 : x
  2. Step 2: Convert to fraction form
    205,132.50/443,071.50 = 443,071.50/x
  3. Step 3: Cross multiply
    205,132.50x = 443,071.50 × 443,071.50
  4. Step 4: Simplify right side
    205,132.50x = 196,312,354,112.25
  5. Step 5: Solve for x
    x = 196,312,354,112.25/205,132.50
  6. Step 6: Final answer
    x = 957,002.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.