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Finding the Third Proportional to 264,167 and 401,300

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Solution

The third proportional to 264,167 and 401,300 is: 609,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,167 : 401,300 = 401,300 : x
  2. Step 2: Convert to fraction form
    264,167/401,300 = 401,300/x
  3. Step 3: Cross multiply
    264,167x = 401,300 × 401,300
  4. Step 4: Simplify right side
    264,167x = 161,041,690,000
  5. Step 5: Solve for x
    x = 161,041,690,000/264,167
  6. Step 6: Final answer
    x = 609,620.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.