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Finding the Third Proportional to 108,954.75 and 237,208.50

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Solution

The third proportional to 108,954.75 and 237,208.50 is: 516,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,954.75 : 237,208.50 = 237,208.50 : x
  2. Step 2: Convert to fraction form
    108,954.75/237,208.50 = 237,208.50/x
  3. Step 3: Cross multiply
    108,954.75x = 237,208.50 × 237,208.50
  4. Step 4: Simplify right side
    108,954.75x = 56,267,872,472.25
  5. Step 5: Solve for x
    x = 56,267,872,472.25/108,954.75
  6. Step 6: Final answer
    x = 516,433.40

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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.