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Finding the Third Proportional to 229,969.13 and 352,365.19

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Solution

The third proportional to 229,969.13 and 352,365.19 is: 539,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,969.13 : 352,365.19 = 352,365.19 : x
  2. Step 2: Convert to fraction form
    229,969.13/352,365.19 = 352,365.19/x
  3. Step 3: Cross multiply
    229,969.13x = 352,365.19 × 352,365.19
  4. Step 4: Simplify right side
    229,969.13x = 124,161,225,361.91
  5. Step 5: Solve for x
    x = 124,161,225,361.91/229,969.13
  6. Step 6: Final answer
    x = 539,903.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.