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Finding the Third Proportional to 161,808 and 352,023

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Solution

The third proportional to 161,808 and 352,023 is: 765,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,808 : 352,023 = 352,023 : x
  2. Step 2: Convert to fraction form
    161,808/352,023 = 352,023/x
  3. Step 3: Cross multiply
    161,808x = 352,023 × 352,023
  4. Step 4: Simplify right side
    161,808x = 123,920,192,529
  5. Step 5: Solve for x
    x = 123,920,192,529/161,808
  6. Step 6: Final answer
    x = 765,847.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.