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Finding the Third Proportional to 175,474.13 and 266,904

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Solution

The third proportional to 175,474.13 and 266,904 is: 405,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,474.13 : 266,904 = 266,904 : x
  2. Step 2: Convert to fraction form
    175,474.13/266,904 = 266,904/x
  3. Step 3: Cross multiply
    175,474.13x = 266,904 × 266,904
  4. Step 4: Simplify right side
    175,474.13x = 71,237,745,216
  5. Step 5: Solve for x
    x = 71,237,745,216/175,474.13
  6. Step 6: Final answer
    x = 405,972.93

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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.