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Finding the Third Proportional to 176,713 and 392,611

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Solution

The third proportional to 176,713 and 392,611 is: 872,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,713 : 392,611 = 392,611 : x
  2. Step 2: Convert to fraction form
    176,713/392,611 = 392,611/x
  3. Step 3: Cross multiply
    176,713x = 392,611 × 392,611
  4. Step 4: Simplify right side
    176,713x = 154,143,397,321
  5. Step 5: Solve for x
    x = 154,143,397,321/176,713
  6. Step 6: Final answer
    x = 872,281.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.