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Finding the Third Proportional to 115,192.50 and 180,313

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Solution

The third proportional to 115,192.50 and 180,313 is: 282,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,192.50 : 180,313 = 180,313 : x
  2. Step 2: Convert to fraction form
    115,192.50/180,313 = 180,313/x
  3. Step 3: Cross multiply
    115,192.50x = 180,313 × 180,313
  4. Step 4: Simplify right side
    115,192.50x = 32,512,777,969
  5. Step 5: Solve for x
    x = 32,512,777,969/115,192.50
  6. Step 6: Final answer
    x = 282,247.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.