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Finding the Third Proportional to 266,052 and 315,260

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Solution

The third proportional to 266,052 and 315,260 is: 373,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,052 : 315,260 = 315,260 : x
  2. Step 2: Convert to fraction form
    266,052/315,260 = 315,260/x
  3. Step 3: Cross multiply
    266,052x = 315,260 × 315,260
  4. Step 4: Simplify right side
    266,052x = 99,388,867,600
  5. Step 5: Solve for x
    x = 99,388,867,600/266,052
  6. Step 6: Final answer
    x = 373,569.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.