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Finding the Third Proportional to 176,093 and 267,506

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Solution

The third proportional to 176,093 and 267,506 is: 406,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,093 : 267,506 = 267,506 : x
  2. Step 2: Convert to fraction form
    176,093/267,506 = 267,506/x
  3. Step 3: Cross multiply
    176,093x = 267,506 × 267,506
  4. Step 4: Simplify right side
    176,093x = 71,559,460,036
  5. Step 5: Solve for x
    x = 71,559,460,036/176,093
  6. Step 6: Final answer
    x = 406,373.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.