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Finding the Third Proportional to 164,459.25 and 359,354.25

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Solution

The third proportional to 164,459.25 and 359,354.25 is: 785,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,459.25 : 359,354.25 = 359,354.25 : x
  2. Step 2: Convert to fraction form
    164,459.25/359,354.25 = 359,354.25/x
  3. Step 3: Cross multiply
    164,459.25x = 359,354.25 × 359,354.25
  4. Step 4: Simplify right side
    164,459.25x = 129,135,476,993.06
  5. Step 5: Solve for x
    x = 129,135,476,993.06/164,459.25
  6. Step 6: Final answer
    x = 785,212.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.