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Finding the Third Proportional to 236,788 and 354,286

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Solution

The third proportional to 236,788 and 354,286 is: 530,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,788 : 354,286 = 354,286 : x
  2. Step 2: Convert to fraction form
    236,788/354,286 = 354,286/x
  3. Step 3: Cross multiply
    236,788x = 354,286 × 354,286
  4. Step 4: Simplify right side
    236,788x = 125,518,569,796
  5. Step 5: Solve for x
    x = 125,518,569,796/236,788
  6. Step 6: Final answer
    x = 530,088.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.