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Finding the Third Proportional to 161,090 and 379,013

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Solution

The third proportional to 161,090 and 379,013 is: 891,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,090 : 379,013 = 379,013 : x
  2. Step 2: Convert to fraction form
    161,090/379,013 = 379,013/x
  3. Step 3: Cross multiply
    161,090x = 379,013 × 379,013
  4. Step 4: Simplify right side
    161,090x = 143,650,854,169
  5. Step 5: Solve for x
    x = 143,650,854,169/161,090
  6. Step 6: Final answer
    x = 891,742.84

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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.