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Finding the Third Proportional to 164,556 and 358,846

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Solution

The third proportional to 164,556 and 358,846 is: 782,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,556 : 358,846 = 358,846 : x
  2. Step 2: Convert to fraction form
    164,556/358,846 = 358,846/x
  3. Step 3: Cross multiply
    164,556x = 358,846 × 358,846
  4. Step 4: Simplify right side
    164,556x = 128,770,451,716
  5. Step 5: Solve for x
    x = 128,770,451,716/164,556
  6. Step 6: Final answer
    x = 782,532.70

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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.