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Finding the Third Proportional to 173,817 and 380,862

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Solution

The third proportional to 173,817 and 380,862 is: 834,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,817 : 380,862 = 380,862 : x
  2. Step 2: Convert to fraction form
    173,817/380,862 = 380,862/x
  3. Step 3: Cross multiply
    173,817x = 380,862 × 380,862
  4. Step 4: Simplify right side
    173,817x = 145,055,863,044
  5. Step 5: Solve for x
    x = 145,055,863,044/173,817
  6. Step 6: Final answer
    x = 834,532.08

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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.