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Finding the Third Proportional to 161,805.19 and 352,017.75

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Solution

The third proportional to 161,805.19 and 352,017.75 is: 765,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,805.19 : 352,017.75 = 352,017.75 : x
  2. Step 2: Convert to fraction form
    161,805.19/352,017.75 = 352,017.75/x
  3. Step 3: Cross multiply
    161,805.19x = 352,017.75 × 352,017.75
  4. Step 4: Simplify right side
    161,805.19x = 123,916,496,315.06
  5. Step 5: Solve for x
    x = 123,916,496,315.06/161,805.19
  6. Step 6: Final answer
    x = 765,837.60

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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.