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Finding the Third Proportional to 164,209 and 354,058

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Solution

The third proportional to 164,209 and 354,058 is: 763,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,209 : 354,058 = 354,058 : x
  2. Step 2: Convert to fraction form
    164,209/354,058 = 354,058/x
  3. Step 3: Cross multiply
    164,209x = 354,058 × 354,058
  4. Step 4: Simplify right side
    164,209x = 125,357,067,364
  5. Step 5: Solve for x
    x = 125,357,067,364/164,209
  6. Step 6: Final answer
    x = 763,399.49

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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.