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Finding the Third Proportional to 161,091 and 379,015

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Solution

The third proportional to 161,091 and 379,015 is: 891,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,091 : 379,015 = 379,015 : x
  2. Step 2: Convert to fraction form
    161,091/379,015 = 379,015/x
  3. Step 3: Cross multiply
    161,091x = 379,015 × 379,015
  4. Step 4: Simplify right side
    161,091x = 143,652,370,225
  5. Step 5: Solve for x
    x = 143,652,370,225/161,091
  6. Step 6: Final answer
    x = 891,746.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.