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Finding the Third Proportional to 194,459 and 415,892

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Solution

The third proportional to 194,459 and 415,892 is: 889,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,459 : 415,892 = 415,892 : x
  2. Step 2: Convert to fraction form
    194,459/415,892 = 415,892/x
  3. Step 3: Cross multiply
    194,459x = 415,892 × 415,892
  4. Step 4: Simplify right side
    194,459x = 172,966,155,664
  5. Step 5: Solve for x
    x = 172,966,155,664/194,459
  6. Step 6: Final answer
    x = 889,473.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.