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Finding the Third Proportional to 170,401.75 and 264,592.88

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Solution

The third proportional to 170,401.75 and 264,592.88 is: 410,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,401.75 : 264,592.88 = 264,592.88 : x
  2. Step 2: Convert to fraction form
    170,401.75/264,592.88 = 264,592.88/x
  3. Step 3: Cross multiply
    170,401.75x = 264,592.88 × 264,592.88
  4. Step 4: Simplify right side
    170,401.75x = 70,009,389,500.77
  5. Step 5: Solve for x
    x = 70,009,389,500.77/170,401.75
  6. Step 6: Final answer
    x = 410,849.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.