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Finding the Third Proportional to 170,877.94 and 258,865.03

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Solution

The third proportional to 170,877.94 and 258,865.03 is: 392,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,877.94 : 258,865.03 = 258,865.03 : x
  2. Step 2: Convert to fraction form
    170,877.94/258,865.03 = 258,865.03/x
  3. Step 3: Cross multiply
    170,877.94x = 258,865.03 × 258,865.03
  4. Step 4: Simplify right side
    170,877.94x = 67,011,104,404.06
  5. Step 5: Solve for x
    x = 67,011,104,404.06/170,877.94
  6. Step 6: Final answer
    x = 392,157.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.