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Finding the Third Proportional to 194,105 and 411,537

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Solution

The third proportional to 194,105 and 411,537 is: 872,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,105 : 411,537 = 411,537 : x
  2. Step 2: Convert to fraction form
    194,105/411,537 = 411,537/x
  3. Step 3: Cross multiply
    194,105x = 411,537 × 411,537
  4. Step 4: Simplify right side
    194,105x = 169,362,702,369
  5. Step 5: Solve for x
    x = 169,362,702,369/194,105
  6. Step 6: Final answer
    x = 872,531.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.