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Finding the Third Proportional to 134,623 and 211,202

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Solution

The third proportional to 134,623 and 211,202 is: 331,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,623 : 211,202 = 211,202 : x
  2. Step 2: Convert to fraction form
    134,623/211,202 = 211,202/x
  3. Step 3: Cross multiply
    134,623x = 211,202 × 211,202
  4. Step 4: Simplify right side
    134,623x = 44,606,284,804
  5. Step 5: Solve for x
    x = 44,606,284,804/134,623
  6. Step 6: Final answer
    x = 331,342.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.