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Finding the Third Proportional to 142,914.38 and 304,828.31

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Solution

The third proportional to 142,914.38 and 304,828.31 is: 650,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,914.38 : 304,828.31 = 304,828.31 : x
  2. Step 2: Convert to fraction form
    142,914.38/304,828.31 = 304,828.31/x
  3. Step 3: Cross multiply
    142,914.38x = 304,828.31 × 304,828.31
  4. Step 4: Simplify right side
    142,914.38x = 92,920,300,101.60
  5. Step 5: Solve for x
    x = 92,920,300,101.60/142,914.38
  6. Step 6: Final answer
    x = 650,181.62

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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.