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Finding the Third Proportional to 179,516.25 and 265,808.25

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Solution

The third proportional to 179,516.25 and 265,808.25 is: 393,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,516.25 : 265,808.25 = 265,808.25 : x
  2. Step 2: Convert to fraction form
    179,516.25/265,808.25 = 265,808.25/x
  3. Step 3: Cross multiply
    179,516.25x = 265,808.25 × 265,808.25
  4. Step 4: Simplify right side
    179,516.25x = 70,654,025,768.06
  5. Step 5: Solve for x
    x = 70,654,025,768.06/179,516.25
  6. Step 6: Final answer
    x = 393,580.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.