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Finding the Third Proportional to 115,192.13 and 180,312.75

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Solution

The third proportional to 115,192.13 and 180,312.75 is: 282,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,192.13 : 180,312.75 = 180,312.75 : x
  2. Step 2: Convert to fraction form
    115,192.13/180,312.75 = 180,312.75/x
  3. Step 3: Cross multiply
    115,192.13x = 180,312.75 × 180,312.75
  4. Step 4: Simplify right side
    115,192.13x = 32,512,687,812.56
  5. Step 5: Solve for x
    x = 32,512,687,812.56/115,192.13
  6. Step 6: Final answer
    x = 282,247.49

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