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Finding the Third Proportional to 144,362.25 and 212,196.38

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Solution

The third proportional to 144,362.25 and 212,196.38 is: 311,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,362.25 : 212,196.38 = 212,196.38 : x
  2. Step 2: Convert to fraction form
    144,362.25/212,196.38 = 212,196.38/x
  3. Step 3: Cross multiply
    144,362.25x = 212,196.38 × 212,196.38
  4. Step 4: Simplify right side
    144,362.25x = 45,027,301,563.14
  5. Step 5: Solve for x
    x = 45,027,301,563.14/144,362.25
  6. Step 6: Final answer
    x = 311,904.96

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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.