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Finding the Third Proportional to 160,920 and 342,630

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Solution

The third proportional to 160,920 and 342,630 is: 729,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,920 : 342,630 = 342,630 : x
  2. Step 2: Convert to fraction form
    160,920/342,630 = 342,630/x
  3. Step 3: Cross multiply
    160,920x = 342,630 × 342,630
  4. Step 4: Simplify right side
    160,920x = 117,395,316,900
  5. Step 5: Solve for x
    x = 117,395,316,900/160,920
  6. Step 6: Final answer
    x = 729,525.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.