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Finding the Third Proportional to 161,651 and 349,114

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Solution

The third proportional to 161,651 and 349,114 is: 753,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,651 : 349,114 = 349,114 : x
  2. Step 2: Convert to fraction form
    161,651/349,114 = 349,114/x
  3. Step 3: Cross multiply
    161,651x = 349,114 × 349,114
  4. Step 4: Simplify right side
    161,651x = 121,880,584,996
  5. Step 5: Solve for x
    x = 121,880,584,996/161,651
  6. Step 6: Final answer
    x = 753,973.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.