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Finding the Third Proportional to 160,533 and 351,516

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Solution

The third proportional to 160,533 and 351,516 is: 769,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,533 : 351,516 = 351,516 : x
  2. Step 2: Convert to fraction form
    160,533/351,516 = 351,516/x
  3. Step 3: Cross multiply
    160,533x = 351,516 × 351,516
  4. Step 4: Simplify right side
    160,533x = 123,563,498,256
  5. Step 5: Solve for x
    x = 123,563,498,256/160,533
  6. Step 6: Final answer
    x = 769,707.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.