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Finding the Third Proportional to 233,602.88 and 367,005.38

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Solution

The third proportional to 233,602.88 and 367,005.38 is: 576,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,602.88 : 367,005.38 = 367,005.38 : x
  2. Step 2: Convert to fraction form
    233,602.88/367,005.38 = 367,005.38/x
  3. Step 3: Cross multiply
    233,602.88x = 367,005.38 × 367,005.38
  4. Step 4: Simplify right side
    233,602.88x = 134,692,945,278.89
  5. Step 5: Solve for x
    x = 134,692,945,278.89/233,602.88
  6. Step 6: Final answer
    x = 576,589.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.