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Finding the Third Proportional to 164,414.81 and 358,584.47

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Solution

The third proportional to 164,414.81 and 358,584.47 is: 782,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,414.81 : 358,584.47 = 358,584.47 : x
  2. Step 2: Convert to fraction form
    164,414.81/358,584.47 = 358,584.47/x
  3. Step 3: Cross multiply
    164,414.81x = 358,584.47 × 358,584.47
  4. Step 4: Simplify right side
    164,414.81x = 128,582,821,228.72
  5. Step 5: Solve for x
    x = 128,582,821,228.72/164,414.81
  6. Step 6: Final answer
    x = 782,063.48

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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.