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Finding the Third Proportional to 86,050.50 and 185,284

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Solution

The third proportional to 86,050.50 and 185,284 is: 398,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,050.50 : 185,284 = 185,284 : x
  2. Step 2: Convert to fraction form
    86,050.50/185,284 = 185,284/x
  3. Step 3: Cross multiply
    86,050.50x = 185,284 × 185,284
  4. Step 4: Simplify right side
    86,050.50x = 34,330,160,656
  5. Step 5: Solve for x
    x = 34,330,160,656/86,050.50
  6. Step 6: Final answer
    x = 398,953.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.