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Finding the Third Proportional to 210,254 and 467,164

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Solution

The third proportional to 210,254 and 467,164 is: 1,037,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,254 : 467,164 = 467,164 : x
  2. Step 2: Convert to fraction form
    210,254/467,164 = 467,164/x
  3. Step 3: Cross multiply
    210,254x = 467,164 × 467,164
  4. Step 4: Simplify right side
    210,254x = 218,242,202,896
  5. Step 5: Solve for x
    x = 218,242,202,896/210,254
  6. Step 6: Final answer
    x = 1,037,993.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.