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Finding the Third Proportional to 163,692 and 356,562

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Solution

The third proportional to 163,692 and 356,562 is: 776,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,692 : 356,562 = 356,562 : x
  2. Step 2: Convert to fraction form
    163,692/356,562 = 356,562/x
  3. Step 3: Cross multiply
    163,692x = 356,562 × 356,562
  4. Step 4: Simplify right side
    163,692x = 127,136,459,844
  5. Step 5: Solve for x
    x = 127,136,459,844/163,692
  6. Step 6: Final answer
    x = 776,680.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.