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Finding the Third Proportional to 115,194 and 180,315

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Solution

The third proportional to 115,194 and 180,315 is: 282,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,194 : 180,315 = 180,315 : x
  2. Step 2: Convert to fraction form
    115,194/180,315 = 180,315/x
  3. Step 3: Cross multiply
    115,194x = 180,315 × 180,315
  4. Step 4: Simplify right side
    115,194x = 32,513,499,225
  5. Step 5: Solve for x
    x = 32,513,499,225/115,194
  6. Step 6: Final answer
    x = 282,249.94

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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.