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Finding the Third Proportional to 210,062 and 322,882

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Solution

The third proportional to 210,062 and 322,882 is: 496,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,062 : 322,882 = 322,882 : x
  2. Step 2: Convert to fraction form
    210,062/322,882 = 322,882/x
  3. Step 3: Cross multiply
    210,062x = 322,882 × 322,882
  4. Step 4: Simplify right side
    210,062x = 104,252,785,924
  5. Step 5: Solve for x
    x = 104,252,785,924/210,062
  6. Step 6: Final answer
    x = 496,295.31

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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.