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Finding the Third Proportional to 229,834 and 356,704

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Solution

The third proportional to 229,834 and 356,704 is: 553,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,834 : 356,704 = 356,704 : x
  2. Step 2: Convert to fraction form
    229,834/356,704 = 356,704/x
  3. Step 3: Cross multiply
    229,834x = 356,704 × 356,704
  4. Step 4: Simplify right side
    229,834x = 127,237,743,616
  5. Step 5: Solve for x
    x = 127,237,743,616/229,834
  6. Step 6: Final answer
    x = 553,607.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.