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Finding the Third Proportional to 161,212 and 351,566

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Solution

The third proportional to 161,212 and 351,566 is: 766,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,212 : 351,566 = 351,566 : x
  2. Step 2: Convert to fraction form
    161,212/351,566 = 351,566/x
  3. Step 3: Cross multiply
    161,212x = 351,566 × 351,566
  4. Step 4: Simplify right side
    161,212x = 123,598,652,356
  5. Step 5: Solve for x
    x = 123,598,652,356/161,212
  6. Step 6: Final answer
    x = 766,683.95

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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.