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Finding the Third Proportional to 65,838 and 155,323

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Solution

The third proportional to 65,838 and 155,323 is: 366,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838 : 155,323 = 155,323 : x
  2. Step 2: Convert to fraction form
    65,838/155,323 = 155,323/x
  3. Step 3: Cross multiply
    65,838x = 155,323 × 155,323
  4. Step 4: Simplify right side
    65,838x = 24,125,234,329
  5. Step 5: Solve for x
    x = 24,125,234,329/65,838
  6. Step 6: Final answer
    x = 366,433.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.