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Finding the Third Proportional to 164,271 and 351,870

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Solution

The third proportional to 164,271 and 351,870 is: 753,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,271 : 351,870 = 351,870 : x
  2. Step 2: Convert to fraction form
    164,271/351,870 = 351,870/x
  3. Step 3: Cross multiply
    164,271x = 351,870 × 351,870
  4. Step 4: Simplify right side
    164,271x = 123,812,496,900
  5. Step 5: Solve for x
    x = 123,812,496,900/164,271
  6. Step 6: Final answer
    x = 753,708.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.