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Finding the Third Proportional to 177,315.75 and 271,275.75

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Solution

The third proportional to 177,315.75 and 271,275.75 is: 415,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,315.75 : 271,275.75 = 271,275.75 : x
  2. Step 2: Convert to fraction form
    177,315.75/271,275.75 = 271,275.75/x
  3. Step 3: Cross multiply
    177,315.75x = 271,275.75 × 271,275.75
  4. Step 4: Simplify right side
    177,315.75x = 73,590,532,538.06
  5. Step 5: Solve for x
    x = 73,590,532,538.06/177,315.75
  6. Step 6: Final answer
    x = 415,025.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.