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Finding the Third Proportional to 194,097 and 411,522

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Solution

The third proportional to 194,097 and 411,522 is: 872,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,097 : 411,522 = 411,522 : x
  2. Step 2: Convert to fraction form
    194,097/411,522 = 411,522/x
  3. Step 3: Cross multiply
    194,097x = 411,522 × 411,522
  4. Step 4: Simplify right side
    194,097x = 169,350,356,484
  5. Step 5: Solve for x
    x = 169,350,356,484/194,097
  6. Step 6: Final answer
    x = 872,503.73

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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.