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Finding the Third Proportional to 177,326 and 265,986

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Solution

The third proportional to 177,326 and 265,986 is: 398,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,326 : 265,986 = 265,986 : x
  2. Step 2: Convert to fraction form
    177,326/265,986 = 265,986/x
  3. Step 3: Cross multiply
    177,326x = 265,986 × 265,986
  4. Step 4: Simplify right side
    177,326x = 70,748,552,196
  5. Step 5: Solve for x
    x = 70,748,552,196/177,326
  6. Step 6: Final answer
    x = 398,974.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.