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Finding the Third Proportional to 163,018 and 345,662

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Solution

The third proportional to 163,018 and 345,662 is: 732,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,018 : 345,662 = 345,662 : x
  2. Step 2: Convert to fraction form
    163,018/345,662 = 345,662/x
  3. Step 3: Cross multiply
    163,018x = 345,662 × 345,662
  4. Step 4: Simplify right side
    163,018x = 119,482,218,244
  5. Step 5: Solve for x
    x = 119,482,218,244/163,018
  6. Step 6: Final answer
    x = 732,938.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.