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Finding the Third Proportional to 228,141 and 528,132.50

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Solution

The third proportional to 228,141 and 528,132.50 is: 1,222,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,141 : 528,132.50 = 528,132.50 : x
  2. Step 2: Convert to fraction form
    228,141/528,132.50 = 528,132.50/x
  3. Step 3: Cross multiply
    228,141x = 528,132.50 × 528,132.50
  4. Step 4: Simplify right side
    228,141x = 278,923,937,556.25
  5. Step 5: Solve for x
    x = 278,923,937,556.25/228,141
  6. Step 6: Final answer
    x = 1,222,594.53

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.