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Finding the Third Proportional to 210,018 and 322,803

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Solution

The third proportional to 210,018 and 322,803 is: 496,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,018 : 322,803 = 322,803 : x
  2. Step 2: Convert to fraction form
    210,018/322,803 = 322,803/x
  3. Step 3: Cross multiply
    210,018x = 322,803 × 322,803
  4. Step 4: Simplify right side
    210,018x = 104,201,776,809
  5. Step 5: Solve for x
    x = 104,201,776,809/210,018
  6. Step 6: Final answer
    x = 496,156.41

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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.