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Finding the Third Proportional to 135,202 and 210,444

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Solution

The third proportional to 135,202 and 210,444 is: 327,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,202 : 210,444 = 210,444 : x
  2. Step 2: Convert to fraction form
    135,202/210,444 = 210,444/x
  3. Step 3: Cross multiply
    135,202x = 210,444 × 210,444
  4. Step 4: Simplify right side
    135,202x = 44,286,677,136
  5. Step 5: Solve for x
    x = 44,286,677,136/135,202
  6. Step 6: Final answer
    x = 327,559.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.