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Finding the Third Proportional to 143,045.63 and 210,189.38

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Solution

The third proportional to 143,045.63 and 210,189.38 is: 308,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,045.63 : 210,189.38 = 210,189.38 : x
  2. Step 2: Convert to fraction form
    143,045.63/210,189.38 = 210,189.38/x
  3. Step 3: Cross multiply
    143,045.63x = 210,189.38 × 210,189.38
  4. Step 4: Simplify right side
    143,045.63x = 44,179,573,362.89
  5. Step 5: Solve for x
    x = 44,179,573,362.89/143,045.63
  6. Step 6: Final answer
    x = 308,849.53

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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.