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Finding the Third Proportional to 155,731.50 and 238,737.38

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Solution

The third proportional to 155,731.50 and 238,737.38 is: 365,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,731.50 : 238,737.38 = 238,737.38 : x
  2. Step 2: Convert to fraction form
    155,731.50/238,737.38 = 238,737.38/x
  3. Step 3: Cross multiply
    155,731.50x = 238,737.38 × 238,737.38
  4. Step 4: Simplify right side
    155,731.50x = 56,995,534,221.89
  5. Step 5: Solve for x
    x = 56,995,534,221.89/155,731.50
  6. Step 6: Final answer
    x = 365,985.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.