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Finding the Third Proportional to 176,106 and 343,388

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Solution

The third proportional to 176,106 and 343,388 is: 669,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,106 : 343,388 = 343,388 : x
  2. Step 2: Convert to fraction form
    176,106/343,388 = 343,388/x
  3. Step 3: Cross multiply
    176,106x = 343,388 × 343,388
  4. Step 4: Simplify right side
    176,106x = 117,915,318,544
  5. Step 5: Solve for x
    x = 117,915,318,544/176,106
  6. Step 6: Final answer
    x = 669,570.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.