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Finding the Third Proportional to 108,492.75 and 236,262.75

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Solution

The third proportional to 108,492.75 and 236,262.75 is: 514,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,492.75 : 236,262.75 = 236,262.75 : x
  2. Step 2: Convert to fraction form
    108,492.75/236,262.75 = 236,262.75/x
  3. Step 3: Cross multiply
    108,492.75x = 236,262.75 × 236,262.75
  4. Step 4: Simplify right side
    108,492.75x = 55,820,087,037.56
  5. Step 5: Solve for x
    x = 55,820,087,037.56/108,492.75
  6. Step 6: Final answer
    x = 514,505.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.