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Finding the Third Proportional to 176,097 and 267,513

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Solution

The third proportional to 176,097 and 267,513 is: 406,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,097 : 267,513 = 267,513 : x
  2. Step 2: Convert to fraction form
    176,097/267,513 = 267,513/x
  3. Step 3: Cross multiply
    176,097x = 267,513 × 267,513
  4. Step 4: Simplify right side
    176,097x = 71,563,205,169
  5. Step 5: Solve for x
    x = 71,563,205,169/176,097
  6. Step 6: Final answer
    x = 406,385.15

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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.