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Finding the Third Proportional to 163,092.13 and 229,670.75

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Solution

The third proportional to 163,092.13 and 229,670.75 is: 323,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,092.13 : 229,670.75 = 229,670.75 : x
  2. Step 2: Convert to fraction form
    163,092.13/229,670.75 = 229,670.75/x
  3. Step 3: Cross multiply
    163,092.13x = 229,670.75 × 229,670.75
  4. Step 4: Simplify right side
    163,092.13x = 52,748,653,405.56
  5. Step 5: Solve for x
    x = 52,748,653,405.56/163,092.13
  6. Step 6: Final answer
    x = 323,428.57

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.