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Finding the Third Proportional to 161,808 and 241,788

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Solution

The third proportional to 161,808 and 241,788 is: 361,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,808 : 241,788 = 241,788 : x
  2. Step 2: Convert to fraction form
    161,808/241,788 = 241,788/x
  3. Step 3: Cross multiply
    161,808x = 241,788 × 241,788
  4. Step 4: Simplify right side
    161,808x = 58,461,436,944
  5. Step 5: Solve for x
    x = 58,461,436,944/161,808
  6. Step 6: Final answer
    x = 361,301.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.