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Finding the Third Proportional to 142,458 and 211,491

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Solution

The third proportional to 142,458 and 211,491 is: 313,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,458 : 211,491 = 211,491 : x
  2. Step 2: Convert to fraction form
    142,458/211,491 = 211,491/x
  3. Step 3: Cross multiply
    142,458x = 211,491 × 211,491
  4. Step 4: Simplify right side
    142,458x = 44,728,443,081
  5. Step 5: Solve for x
    x = 44,728,443,081/142,458
  6. Step 6: Final answer
    x = 313,976.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.