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Finding the Third Proportional to 164,454.75 and 359,345.25

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Solution

The third proportional to 164,454.75 and 359,345.25 is: 785,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,454.75 : 359,345.25 = 359,345.25 : x
  2. Step 2: Convert to fraction form
    164,454.75/359,345.25 = 359,345.25/x
  3. Step 3: Cross multiply
    164,454.75x = 359,345.25 × 359,345.25
  4. Step 4: Simplify right side
    164,454.75x = 129,129,008,697.56
  5. Step 5: Solve for x
    x = 129,129,008,697.56/164,454.75
  6. Step 6: Final answer
    x = 785,194.76

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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.