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Finding the Third Proportional to 177,284.53 and 265,300.31

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Solution

The third proportional to 177,284.53 and 265,300.31 is: 397,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,284.53 : 265,300.31 = 265,300.31 : x
  2. Step 2: Convert to fraction form
    177,284.53/265,300.31 = 265,300.31/x
  3. Step 3: Cross multiply
    177,284.53x = 265,300.31 × 265,300.31
  4. Step 4: Simplify right side
    177,284.53x = 70,384,255,812.60
  5. Step 5: Solve for x
    x = 70,384,255,812.60/177,284.53
  6. Step 6: Final answer
    x = 397,012.96

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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.