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Finding the Third Proportional to 133,034 and 291,938

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Solution

The third proportional to 133,034 and 291,938 is: 640,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,034 : 291,938 = 291,938 : x
  2. Step 2: Convert to fraction form
    133,034/291,938 = 291,938/x
  3. Step 3: Cross multiply
    133,034x = 291,938 × 291,938
  4. Step 4: Simplify right side
    133,034x = 85,227,795,844
  5. Step 5: Solve for x
    x = 85,227,795,844/133,034
  6. Step 6: Final answer
    x = 640,646.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.