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Finding the Third Proportional to 161,706 and 351,726

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Solution

The third proportional to 161,706 and 351,726 is: 765,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,706 : 351,726 = 351,726 : x
  2. Step 2: Convert to fraction form
    161,706/351,726 = 351,726/x
  3. Step 3: Cross multiply
    161,706x = 351,726 × 351,726
  4. Step 4: Simplify right side
    161,706x = 123,711,179,076
  5. Step 5: Solve for x
    x = 123,711,179,076/161,706
  6. Step 6: Final answer
    x = 765,037.66

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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.