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Finding the Third Proportional to 142,948.25 and 209,647.75

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Solution

The third proportional to 142,948.25 and 209,647.75 is: 307,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,948.25 : 209,647.75 = 209,647.75 : x
  2. Step 2: Convert to fraction form
    142,948.25/209,647.75 = 209,647.75/x
  3. Step 3: Cross multiply
    142,948.25x = 209,647.75 × 209,647.75
  4. Step 4: Simplify right side
    142,948.25x = 43,952,179,080.06
  5. Step 5: Solve for x
    x = 43,952,179,080.06/142,948.25
  6. Step 6: Final answer
    x = 307,469.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.