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Finding the Third Proportional to 266,072 and 361,908

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Solution

The third proportional to 266,072 and 361,908 is: 492,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,072 : 361,908 = 361,908 : x
  2. Step 2: Convert to fraction form
    266,072/361,908 = 361,908/x
  3. Step 3: Cross multiply
    266,072x = 361,908 × 361,908
  4. Step 4: Simplify right side
    266,072x = 130,977,400,464
  5. Step 5: Solve for x
    x = 130,977,400,464/266,072
  6. Step 6: Final answer
    x = 492,263.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.