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Finding the Third Proportional to 177,636 and 265,914

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Solution

The third proportional to 177,636 and 265,914 is: 398,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,636 : 265,914 = 265,914 : x
  2. Step 2: Convert to fraction form
    177,636/265,914 = 265,914/x
  3. Step 3: Cross multiply
    177,636x = 265,914 × 265,914
  4. Step 4: Simplify right side
    177,636x = 70,710,255,396
  5. Step 5: Solve for x
    x = 70,710,255,396/177,636
  6. Step 6: Final answer
    x = 398,062.64

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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.