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Finding the Third Proportional to 112,830 and 267,315

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Solution

The third proportional to 112,830 and 267,315 is: 633,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,830 : 267,315 = 267,315 : x
  2. Step 2: Convert to fraction form
    112,830/267,315 = 267,315/x
  3. Step 3: Cross multiply
    112,830x = 267,315 × 267,315
  4. Step 4: Simplify right side
    112,830x = 71,457,309,225
  5. Step 5: Solve for x
    x = 71,457,309,225/112,830
  6. Step 6: Final answer
    x = 633,318.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.