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Finding the Third Proportional to 133,685 and 290,427

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Solution

The third proportional to 133,685 and 290,427 is: 630,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,685 : 290,427 = 290,427 : x
  2. Step 2: Convert to fraction form
    133,685/290,427 = 290,427/x
  3. Step 3: Cross multiply
    133,685x = 290,427 × 290,427
  4. Step 4: Simplify right side
    133,685x = 84,347,842,329
  5. Step 5: Solve for x
    x = 84,347,842,329/133,685
  6. Step 6: Final answer
    x = 630,944.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.