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Finding the Third Proportional to 177,277.50 and 263,133

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Solution

The third proportional to 177,277.50 and 263,133 is: 390,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,277.50 : 263,133 = 263,133 : x
  2. Step 2: Convert to fraction form
    177,277.50/263,133 = 263,133/x
  3. Step 3: Cross multiply
    177,277.50x = 263,133 × 263,133
  4. Step 4: Simplify right side
    177,277.50x = 69,238,975,689
  5. Step 5: Solve for x
    x = 69,238,975,689/177,277.50
  6. Step 6: Final answer
    x = 390,568.32

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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.