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Finding the Third Proportional to 236,208 and 358,684

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Solution

The third proportional to 236,208 and 358,684 is: 544,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,208 : 358,684 = 358,684 : x
  2. Step 2: Convert to fraction form
    236,208/358,684 = 358,684/x
  3. Step 3: Cross multiply
    236,208x = 358,684 × 358,684
  4. Step 4: Simplify right side
    236,208x = 128,654,211,856
  5. Step 5: Solve for x
    x = 128,654,211,856/236,208
  6. Step 6: Final answer
    x = 544,664.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.