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Finding the Third Proportional to 210,006 and 322,785

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Solution

The third proportional to 210,006 and 322,785 is: 496,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006 : 322,785 = 322,785 : x
  2. Step 2: Convert to fraction form
    210,006/322,785 = 322,785/x
  3. Step 3: Cross multiply
    210,006x = 322,785 × 322,785
  4. Step 4: Simplify right side
    210,006x = 104,190,156,225
  5. Step 5: Solve for x
    x = 104,190,156,225/210,006
  6. Step 6: Final answer
    x = 496,129.43

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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.