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Finding the Third Proportional to 158,611 and 344,870

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Solution

The third proportional to 158,611 and 344,870 is: 749,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,611 : 344,870 = 344,870 : x
  2. Step 2: Convert to fraction form
    158,611/344,870 = 344,870/x
  3. Step 3: Cross multiply
    158,611x = 344,870 × 344,870
  4. Step 4: Simplify right side
    158,611x = 118,935,316,900
  5. Step 5: Solve for x
    x = 118,935,316,900/158,611
  6. Step 6: Final answer
    x = 749,855.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.