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Finding the Third Proportional to 161,802 and 352,802.25

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Solution

The third proportional to 161,802 and 352,802.25 is: 769,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,802 : 352,802.25 = 352,802.25 : x
  2. Step 2: Convert to fraction form
    161,802/352,802.25 = 352,802.25/x
  3. Step 3: Cross multiply
    161,802x = 352,802.25 × 352,802.25
  4. Step 4: Simplify right side
    161,802x = 124,469,427,605.06
  5. Step 5: Solve for x
    x = 124,469,427,605.06/161,802
  6. Step 6: Final answer
    x = 769,270.02

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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.