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Finding the Third Proportional to 266,140.13 and 382,560.75

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Solution

The third proportional to 266,140.13 and 382,560.75 is: 549,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,140.13 : 382,560.75 = 382,560.75 : x
  2. Step 2: Convert to fraction form
    266,140.13/382,560.75 = 382,560.75/x
  3. Step 3: Cross multiply
    266,140.13x = 382,560.75 × 382,560.75
  4. Step 4: Simplify right side
    266,140.13x = 146,352,727,440.56
  5. Step 5: Solve for x
    x = 146,352,727,440.56/266,140.13
  6. Step 6: Final answer
    x = 549,908.54

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.