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Finding the Third Proportional to 134,626 and 211,206

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Solution

The third proportional to 134,626 and 211,206 is: 331,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,626 : 211,206 = 211,206 : x
  2. Step 2: Convert to fraction form
    134,626/211,206 = 211,206/x
  3. Step 3: Cross multiply
    134,626x = 211,206 × 211,206
  4. Step 4: Simplify right side
    134,626x = 44,607,974,436
  5. Step 5: Solve for x
    x = 44,607,974,436/134,626
  6. Step 6: Final answer
    x = 331,347.40

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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.