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Finding the Third Proportional to 169,551.75 and 230,271.75

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Solution

The third proportional to 169,551.75 and 230,271.75 is: 312,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,551.75 : 230,271.75 = 230,271.75 : x
  2. Step 2: Convert to fraction form
    169,551.75/230,271.75 = 230,271.75/x
  3. Step 3: Cross multiply
    169,551.75x = 230,271.75 × 230,271.75
  4. Step 4: Simplify right side
    169,551.75x = 53,025,078,848.06
  5. Step 5: Solve for x
    x = 53,025,078,848.06/169,551.75
  6. Step 6: Final answer
    x = 312,736.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.