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Finding the Third Proportional to 242,105.50 and 525,035

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Solution

The third proportional to 242,105.50 and 525,035 is: 1,138,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,105.50 : 525,035 = 525,035 : x
  2. Step 2: Convert to fraction form
    242,105.50/525,035 = 525,035/x
  3. Step 3: Cross multiply
    242,105.50x = 525,035 × 525,035
  4. Step 4: Simplify right side
    242,105.50x = 275,661,751,225
  5. Step 5: Solve for x
    x = 275,661,751,225/242,105.50
  6. Step 6: Final answer
    x = 1,138,601.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.