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Finding the Third Proportional to 242,615.25 and 523,138.50

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Solution

The third proportional to 242,615.25 and 523,138.50 is: 1,128,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,615.25 : 523,138.50 = 523,138.50 : x
  2. Step 2: Convert to fraction form
    242,615.25/523,138.50 = 523,138.50/x
  3. Step 3: Cross multiply
    242,615.25x = 523,138.50 × 523,138.50
  4. Step 4: Simplify right side
    242,615.25x = 273,673,890,182.25
  5. Step 5: Solve for x
    x = 273,673,890,182.25/242,615.25
  6. Step 6: Final answer
    x = 1,128,016.03

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Why These Related Problems?

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