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Finding the Third Proportional to 152,691.75 and 237,762.38

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Solution

The third proportional to 152,691.75 and 237,762.38 is: 370,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,691.75 : 237,762.38 = 237,762.38 : x
  2. Step 2: Convert to fraction form
    152,691.75/237,762.38 = 237,762.38/x
  3. Step 3: Cross multiply
    152,691.75x = 237,762.38 × 237,762.38
  4. Step 4: Simplify right side
    152,691.75x = 56,530,946,965.64
  5. Step 5: Solve for x
    x = 56,530,946,965.64/152,691.75
  6. Step 6: Final answer
    x = 370,229.22

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.