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Finding the Third Proportional to 133,071 and 287,463

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Solution

The third proportional to 133,071 and 287,463 is: 620,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071 : 287,463 = 287,463 : x
  2. Step 2: Convert to fraction form
    133,071/287,463 = 287,463/x
  3. Step 3: Cross multiply
    133,071x = 287,463 × 287,463
  4. Step 4: Simplify right side
    133,071x = 82,634,976,369
  5. Step 5: Solve for x
    x = 82,634,976,369/133,071
  6. Step 6: Final answer
    x = 620,984.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.