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Finding the Third Proportional to 266,161.25 and 402,417.44

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Solution

The third proportional to 266,161.25 and 402,417.44 is: 608,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,161.25 : 402,417.44 = 402,417.44 : x
  2. Step 2: Convert to fraction form
    266,161.25/402,417.44 = 402,417.44/x
  3. Step 3: Cross multiply
    266,161.25x = 402,417.44 × 402,417.44
  4. Step 4: Simplify right side
    266,161.25x = 161,939,795,576.01
  5. Step 5: Solve for x
    x = 161,939,795,576.01/266,161.25
  6. Step 6: Final answer
    x = 608,427.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.