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Finding the Third Proportional to 177,300 and 265,950

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Solution

The third proportional to 177,300 and 265,950 is: 398,925

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,300 : 265,950 = 265,950 : x
  2. Step 2: Convert to fraction form
    177,300/265,950 = 265,950/x
  3. Step 3: Cross multiply
    177,300x = 265,950 × 265,950
  4. Step 4: Simplify right side
    177,300x = 70,729,402,500
  5. Step 5: Solve for x
    x = 70,729,402,500/177,300
  6. Step 6: Final answer
    x = 398,925

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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.