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Finding the Third Proportional to 236,222 and 358,705

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Solution

The third proportional to 236,222 and 358,705 is: 544,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,222 : 358,705 = 358,705 : x
  2. Step 2: Convert to fraction form
    236,222/358,705 = 358,705/x
  3. Step 3: Cross multiply
    236,222x = 358,705 × 358,705
  4. Step 4: Simplify right side
    236,222x = 128,669,277,025
  5. Step 5: Solve for x
    x = 128,669,277,025/236,222
  6. Step 6: Final answer
    x = 544,696.42

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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.