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Finding the Third Proportional to 176,110 and 343,396

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Solution

The third proportional to 176,110 and 343,396 is: 669,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,110 : 343,396 = 343,396 : x
  2. Step 2: Convert to fraction form
    176,110/343,396 = 343,396/x
  3. Step 3: Cross multiply
    176,110x = 343,396 × 343,396
  4. Step 4: Simplify right side
    176,110x = 117,920,812,816
  5. Step 5: Solve for x
    x = 117,920,812,816/176,110
  6. Step 6: Final answer
    x = 669,586.13

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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.