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Finding the Third Proportional to 176,280 and 385,936

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Solution

The third proportional to 176,280 and 385,936 is: 844,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,280 : 385,936 = 385,936 : x
  2. Step 2: Convert to fraction form
    176,280/385,936 = 385,936/x
  3. Step 3: Cross multiply
    176,280x = 385,936 × 385,936
  4. Step 4: Simplify right side
    176,280x = 148,946,596,096
  5. Step 5: Solve for x
    x = 148,946,596,096/176,280
  6. Step 6: Final answer
    x = 844,943.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.