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Finding the Third Proportional to 266,944 and 359,556

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Solution

The third proportional to 266,944 and 359,556 is: 484,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,944 : 359,556 = 359,556 : x
  2. Step 2: Convert to fraction form
    266,944/359,556 = 359,556/x
  3. Step 3: Cross multiply
    266,944x = 359,556 × 359,556
  4. Step 4: Simplify right side
    266,944x = 129,280,517,136
  5. Step 5: Solve for x
    x = 129,280,517,136/266,944
  6. Step 6: Final answer
    x = 484,298.27

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.