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Finding the Third Proportional to 175,545 and 264,867

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Solution

The third proportional to 175,545 and 264,867 is: 399,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,545 : 264,867 = 264,867 : x
  2. Step 2: Convert to fraction form
    175,545/264,867 = 264,867/x
  3. Step 3: Cross multiply
    175,545x = 264,867 × 264,867
  4. Step 4: Simplify right side
    175,545x = 70,154,527,689
  5. Step 5: Solve for x
    x = 70,154,527,689/175,545
  6. Step 6: Final answer
    x = 399,638.43

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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.