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Finding the Third Proportional to 164,458.69 and 354,295.69

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Solution

The third proportional to 164,458.69 and 354,295.69 is: 763,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,458.69 : 354,295.69 = 354,295.69 : x
  2. Step 2: Convert to fraction form
    164,458.69/354,295.69 = 354,295.69/x
  3. Step 3: Cross multiply
    164,458.69x = 354,295.69 × 354,295.69
  4. Step 4: Simplify right side
    164,458.69x = 125,525,434,181.10
  5. Step 5: Solve for x
    x = 125,525,434,181.10/164,458.69
  6. Step 6: Final answer
    x = 763,264.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.