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Finding the Third Proportional to 114,340 and 267,220

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Solution

The third proportional to 114,340 and 267,220 is: 624,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,340 : 267,220 = 267,220 : x
  2. Step 2: Convert to fraction form
    114,340/267,220 = 267,220/x
  3. Step 3: Cross multiply
    114,340x = 267,220 × 267,220
  4. Step 4: Simplify right side
    114,340x = 71,406,528,400
  5. Step 5: Solve for x
    x = 71,406,528,400/114,340
  6. Step 6: Final answer
    x = 624,510.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.