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Finding the Third Proportional to 160,567 and 379,726

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Solution

The third proportional to 160,567 and 379,726 is: 898,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,567 : 379,726 = 379,726 : x
  2. Step 2: Convert to fraction form
    160,567/379,726 = 379,726/x
  3. Step 3: Cross multiply
    160,567x = 379,726 × 379,726
  4. Step 4: Simplify right side
    160,567x = 144,191,835,076
  5. Step 5: Solve for x
    x = 144,191,835,076/160,567
  6. Step 6: Final answer
    x = 898,016.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.