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Finding the Third Proportional to 265,315.50 and 375,057

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Solution

The third proportional to 265,315.50 and 375,057 is: 530,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,315.50 : 375,057 = 375,057 : x
  2. Step 2: Convert to fraction form
    265,315.50/375,057 = 375,057/x
  3. Step 3: Cross multiply
    265,315.50x = 375,057 × 375,057
  4. Step 4: Simplify right side
    265,315.50x = 140,667,753,249
  5. Step 5: Solve for x
    x = 140,667,753,249/265,315.50
  6. Step 6: Final answer
    x = 530,190.48

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.