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Finding the Third Proportional to 164,163.38 and 359,465.34

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Solution

The third proportional to 164,163.38 and 359,465.34 is: 787,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,163.38 : 359,465.34 = 359,465.34 : x
  2. Step 2: Convert to fraction form
    164,163.38/359,465.34 = 359,465.34/x
  3. Step 3: Cross multiply
    164,163.38x = 359,465.34 × 359,465.34
  4. Step 4: Simplify right side
    164,163.38x = 129,215,333,357.31
  5. Step 5: Solve for x
    x = 129,215,333,357.31/164,163.38
  6. Step 6: Final answer
    x = 787,114.26

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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.