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Finding the Third Proportional to 122,660 and 286,642

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Solution

The third proportional to 122,660 and 286,642 is: 669,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,660 : 286,642 = 286,642 : x
  2. Step 2: Convert to fraction form
    122,660/286,642 = 286,642/x
  3. Step 3: Cross multiply
    122,660x = 286,642 × 286,642
  4. Step 4: Simplify right side
    122,660x = 82,163,636,164
  5. Step 5: Solve for x
    x = 82,163,636,164/122,660
  6. Step 6: Final answer
    x = 669,848.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.