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Finding the Third Proportional to 176,526 and 388,683

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Solution

The third proportional to 176,526 and 388,683 is: 855,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,526 : 388,683 = 388,683 : x
  2. Step 2: Convert to fraction form
    176,526/388,683 = 388,683/x
  3. Step 3: Cross multiply
    176,526x = 388,683 × 388,683
  4. Step 4: Simplify right side
    176,526x = 151,074,474,489
  5. Step 5: Solve for x
    x = 151,074,474,489/176,526
  6. Step 6: Final answer
    x = 855,819.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.