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Finding the Third Proportional to 175,068 and 266,976

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Solution

The third proportional to 175,068 and 266,976 is: 407,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,068 : 266,976 = 266,976 : x
  2. Step 2: Convert to fraction form
    175,068/266,976 = 266,976/x
  3. Step 3: Cross multiply
    175,068x = 266,976 × 266,976
  4. Step 4: Simplify right side
    175,068x = 71,276,184,576
  5. Step 5: Solve for x
    x = 71,276,184,576/175,068
  6. Step 6: Final answer
    x = 407,134.28

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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.