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Finding the Third Proportional to 182,981.25 and 389,290.50

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Solution

The third proportional to 182,981.25 and 389,290.50 is: 828,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,981.25 : 389,290.50 = 389,290.50 : x
  2. Step 2: Convert to fraction form
    182,981.25/389,290.50 = 389,290.50/x
  3. Step 3: Cross multiply
    182,981.25x = 389,290.50 × 389,290.50
  4. Step 4: Simplify right side
    182,981.25x = 151,547,093,390.25
  5. Step 5: Solve for x
    x = 151,547,093,390.25/182,981.25
  6. Step 6: Final answer
    x = 828,211.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.