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Finding the Third Proportional to 223,502 and 349,653

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Solution

The third proportional to 223,502 and 349,653 is: 547,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,502 : 349,653 = 349,653 : x
  2. Step 2: Convert to fraction form
    223,502/349,653 = 349,653/x
  3. Step 3: Cross multiply
    223,502x = 349,653 × 349,653
  4. Step 4: Simplify right side
    223,502x = 122,257,220,409
  5. Step 5: Solve for x
    x = 122,257,220,409/223,502
  6. Step 6: Final answer
    x = 547,007.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.