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Finding the Third Proportional to 171,435.56 and 271,684.94

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Solution

The third proportional to 171,435.56 and 271,684.94 is: 430,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,435.56 : 271,684.94 = 271,684.94 : x
  2. Step 2: Convert to fraction form
    171,435.56/271,684.94 = 271,684.94/x
  3. Step 3: Cross multiply
    171,435.56x = 271,684.94 × 271,684.94
  4. Step 4: Simplify right side
    171,435.56x = 73,812,705,264.38
  5. Step 5: Solve for x
    x = 73,812,705,264.38/171,435.56
  6. Step 6: Final answer
    x = 430,556.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.