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Finding the Third Proportional to 115,288.50 and 248,365

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Solution

The third proportional to 115,288.50 and 248,365 is: 535,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,288.50 : 248,365 = 248,365 : x
  2. Step 2: Convert to fraction form
    115,288.50/248,365 = 248,365/x
  3. Step 3: Cross multiply
    115,288.50x = 248,365 × 248,365
  4. Step 4: Simplify right side
    115,288.50x = 61,685,173,225
  5. Step 5: Solve for x
    x = 61,685,173,225/115,288.50
  6. Step 6: Final answer
    x = 535,050.53

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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.