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Finding the Third Proportional to 164,185 and 354,566

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Solution

The third proportional to 164,185 and 354,566 is: 765,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,185 : 354,566 = 354,566 : x
  2. Step 2: Convert to fraction form
    164,185/354,566 = 354,566/x
  3. Step 3: Cross multiply
    164,185x = 354,566 × 354,566
  4. Step 4: Simplify right side
    164,185x = 125,717,048,356
  5. Step 5: Solve for x
    x = 125,717,048,356/164,185
  6. Step 6: Final answer
    x = 765,703.62

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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.