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Finding the Third Proportional to 210,124 and 322,960

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Solution

The third proportional to 210,124 and 322,960 is: 496,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,124 : 322,960 = 322,960 : x
  2. Step 2: Convert to fraction form
    210,124/322,960 = 322,960/x
  3. Step 3: Cross multiply
    210,124x = 322,960 × 322,960
  4. Step 4: Simplify right side
    210,124x = 104,303,161,600
  5. Step 5: Solve for x
    x = 104,303,161,600/210,124
  6. Step 6: Final answer
    x = 496,388.62

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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.