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Finding the Third Proportional to 210,118 and 322,954

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Solution

The third proportional to 210,118 and 322,954 is: 496,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,118 : 322,954 = 322,954 : x
  2. Step 2: Convert to fraction form
    210,118/322,954 = 322,954/x
  3. Step 3: Cross multiply
    210,118x = 322,954 × 322,954
  4. Step 4: Simplify right side
    210,118x = 104,299,286,116
  5. Step 5: Solve for x
    x = 104,299,286,116/210,118
  6. Step 6: Final answer
    x = 496,384.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.