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Finding the Third Proportional to 138,678.19 and 295,228.69

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Solution

The third proportional to 138,678.19 and 295,228.69 is: 628,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,678.19 : 295,228.69 = 295,228.69 : x
  2. Step 2: Convert to fraction form
    138,678.19/295,228.69 = 295,228.69/x
  3. Step 3: Cross multiply
    138,678.19x = 295,228.69 × 295,228.69
  4. Step 4: Simplify right side
    138,678.19x = 87,159,977,922.97
  5. Step 5: Solve for x
    x = 87,159,977,922.97/138,678.19
  6. Step 6: Final answer
    x = 628,505.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.