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Finding the Third Proportional to 161,024 and 378,884

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Solution

The third proportional to 161,024 and 378,884 is: 891,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,024 : 378,884 = 378,884 : x
  2. Step 2: Convert to fraction form
    161,024/378,884 = 378,884/x
  3. Step 3: Cross multiply
    161,024x = 378,884 × 378,884
  4. Step 4: Simplify right side
    161,024x = 143,553,085,456
  5. Step 5: Solve for x
    x = 143,553,085,456/161,024
  6. Step 6: Final answer
    x = 891,501.18

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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.