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Finding the Third Proportional to 108,392.50 and 231,851

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Solution

The third proportional to 108,392.50 and 231,851 is: 495,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,392.50 : 231,851 = 231,851 : x
  2. Step 2: Convert to fraction form
    108,392.50/231,851 = 231,851/x
  3. Step 3: Cross multiply
    108,392.50x = 231,851 × 231,851
  4. Step 4: Simplify right side
    108,392.50x = 53,754,886,201
  5. Step 5: Solve for x
    x = 53,754,886,201/108,392.50
  6. Step 6: Final answer
    x = 495,928.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.