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Finding the Third Proportional to 176,982 and 385,068

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Solution

The third proportional to 176,982 and 385,068 is: 837,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,982 : 385,068 = 385,068 : x
  2. Step 2: Convert to fraction form
    176,982/385,068 = 385,068/x
  3. Step 3: Cross multiply
    176,982x = 385,068 × 385,068
  4. Step 4: Simplify right side
    176,982x = 148,277,364,624
  5. Step 5: Solve for x
    x = 148,277,364,624/176,982
  6. Step 6: Final answer
    x = 837,810.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.