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Finding the Third Proportional to 161,902.13 and 343,534.50

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Solution

The third proportional to 161,902.13 and 343,534.50 is: 728,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,902.13 : 343,534.50 = 343,534.50 : x
  2. Step 2: Convert to fraction form
    161,902.13/343,534.50 = 343,534.50/x
  3. Step 3: Cross multiply
    161,902.13x = 343,534.50 × 343,534.50
  4. Step 4: Simplify right side
    161,902.13x = 118,015,952,690.25
  5. Step 5: Solve for x
    x = 118,015,952,690.25/161,902.13
  6. Step 6: Final answer
    x = 728,933.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.