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Finding the Third Proportional to 160,229 and 370,920

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Solution

The third proportional to 160,229 and 370,920 is: 858,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,229 : 370,920 = 370,920 : x
  2. Step 2: Convert to fraction form
    160,229/370,920 = 370,920/x
  3. Step 3: Cross multiply
    160,229x = 370,920 × 370,920
  4. Step 4: Simplify right side
    160,229x = 137,581,646,400
  5. Step 5: Solve for x
    x = 137,581,646,400/160,229
  6. Step 6: Final answer
    x = 858,656.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.