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Finding the Third Proportional to 160,862 and 341,164

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Solution

The third proportional to 160,862 and 341,164 is: 723,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,862 : 341,164 = 341,164 : x
  2. Step 2: Convert to fraction form
    160,862/341,164 = 341,164/x
  3. Step 3: Cross multiply
    160,862x = 341,164 × 341,164
  4. Step 4: Simplify right side
    160,862x = 116,392,874,896
  5. Step 5: Solve for x
    x = 116,392,874,896/160,862
  6. Step 6: Final answer
    x = 723,557.30

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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.