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Finding the Third Proportional to 175,509 and 264,503

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Solution

The third proportional to 175,509 and 264,503 is: 398,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,509 : 264,503 = 264,503 : x
  2. Step 2: Convert to fraction form
    175,509/264,503 = 264,503/x
  3. Step 3: Cross multiply
    175,509x = 264,503 × 264,503
  4. Step 4: Simplify right side
    175,509x = 69,961,837,009
  5. Step 5: Solve for x
    x = 69,961,837,009/175,509
  6. Step 6: Final answer
    x = 398,622.50

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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.