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Finding the Third Proportional to 233,669.25 and 350,109.38

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Solution

The third proportional to 233,669.25 and 350,109.38 is: 524,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,669.25 : 350,109.38 = 350,109.38 : x
  2. Step 2: Convert to fraction form
    233,669.25/350,109.38 = 350,109.38/x
  3. Step 3: Cross multiply
    233,669.25x = 350,109.38 × 350,109.38
  4. Step 4: Simplify right side
    233,669.25x = 122,576,574,462.89
  5. Step 5: Solve for x
    x = 122,576,574,462.89/233,669.25
  6. Step 6: Final answer
    x = 524,572.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.