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Finding the Third Proportional to 158,252 and 211,399

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Solution

The third proportional to 158,252 and 211,399 is: 282,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,252 : 211,399 = 211,399 : x
  2. Step 2: Convert to fraction form
    158,252/211,399 = 211,399/x
  3. Step 3: Cross multiply
    158,252x = 211,399 × 211,399
  4. Step 4: Simplify right side
    158,252x = 44,689,537,201
  5. Step 5: Solve for x
    x = 44,689,537,201/158,252
  6. Step 6: Final answer
    x = 282,394.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.