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Finding the Third Proportional to 172,701 and 407,097

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Solution

The third proportional to 172,701 and 407,097 is: 959,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,701 : 407,097 = 407,097 : x
  2. Step 2: Convert to fraction form
    172,701/407,097 = 407,097/x
  3. Step 3: Cross multiply
    172,701x = 407,097 × 407,097
  4. Step 4: Simplify right side
    172,701x = 165,727,967,409
  5. Step 5: Solve for x
    x = 165,727,967,409/172,701
  6. Step 6: Final answer
    x = 959,623.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.