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Finding the Third Proportional to 154,209 and 356,973

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Solution

The third proportional to 154,209 and 356,973 is: 826,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,209 : 356,973 = 356,973 : x
  2. Step 2: Convert to fraction form
    154,209/356,973 = 356,973/x
  3. Step 3: Cross multiply
    154,209x = 356,973 × 356,973
  4. Step 4: Simplify right side
    154,209x = 127,429,722,729
  5. Step 5: Solve for x
    x = 127,429,722,729/154,209
  6. Step 6: Final answer
    x = 826,344.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.