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Finding the Third Proportional to 163,491 and 352,782

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Solution

The third proportional to 163,491 and 352,782 is: 761,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,491 : 352,782 = 352,782 : x
  2. Step 2: Convert to fraction form
    163,491/352,782 = 352,782/x
  3. Step 3: Cross multiply
    163,491x = 352,782 × 352,782
  4. Step 4: Simplify right side
    163,491x = 124,455,139,524
  5. Step 5: Solve for x
    x = 124,455,139,524/163,491
  6. Step 6: Final answer
    x = 761,235.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.