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Finding the Third Proportional to 133,909 and 291,854

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Solution

The third proportional to 133,909 and 291,854 is: 636,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,909 : 291,854 = 291,854 : x
  2. Step 2: Convert to fraction form
    133,909/291,854 = 291,854/x
  3. Step 3: Cross multiply
    133,909x = 291,854 × 291,854
  4. Step 4: Simplify right side
    133,909x = 85,178,757,316
  5. Step 5: Solve for x
    x = 85,178,757,316/133,909
  6. Step 6: Final answer
    x = 636,094.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.