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Finding the Third Proportional to 162,735 and 342,966

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Solution

The third proportional to 162,735 and 342,966 is: 722,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,735 : 342,966 = 342,966 : x
  2. Step 2: Convert to fraction form
    162,735/342,966 = 342,966/x
  3. Step 3: Cross multiply
    162,735x = 342,966 × 342,966
  4. Step 4: Simplify right side
    162,735x = 117,625,677,156
  5. Step 5: Solve for x
    x = 117,625,677,156/162,735
  6. Step 6: Final answer
    x = 722,805.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.