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Finding the Third Proportional to 164,320 and 264,551

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Solution

The third proportional to 164,320 and 264,551 is: 425,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,320 : 264,551 = 264,551 : x
  2. Step 2: Convert to fraction form
    164,320/264,551 = 264,551/x
  3. Step 3: Cross multiply
    164,320x = 264,551 × 264,551
  4. Step 4: Simplify right side
    164,320x = 69,987,231,601
  5. Step 5: Solve for x
    x = 69,987,231,601/164,320
  6. Step 6: Final answer
    x = 425,920.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.