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Finding the Third Proportional to 164,286 and 354,789

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Solution

The third proportional to 164,286 and 354,789 is: 766,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,286 : 354,789 = 354,789 : x
  2. Step 2: Convert to fraction form
    164,286/354,789 = 354,789/x
  3. Step 3: Cross multiply
    164,286x = 354,789 × 354,789
  4. Step 4: Simplify right side
    164,286x = 125,875,234,521
  5. Step 5: Solve for x
    x = 125,875,234,521/164,286
  6. Step 6: Final answer
    x = 766,195.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.