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Finding the Third Proportional to 266,138.16 and 382,557.94

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Solution

The third proportional to 266,138.16 and 382,557.94 is: 549,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,138.16 : 382,557.94 = 382,557.94 : x
  2. Step 2: Convert to fraction form
    266,138.16/382,557.94 = 382,557.94/x
  3. Step 3: Cross multiply
    266,138.16x = 382,557.94 × 382,557.94
  4. Step 4: Simplify right side
    266,138.16x = 146,350,575,544.25
  5. Step 5: Solve for x
    x = 146,350,575,544.25/266,138.16
  6. Step 6: Final answer
    x = 549,904.52

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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.