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Finding the Third Proportional to 176,772 and 384,280

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Solution

The third proportional to 176,772 and 384,280 is: 835,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,772 : 384,280 = 384,280 : x
  2. Step 2: Convert to fraction form
    176,772/384,280 = 384,280/x
  3. Step 3: Cross multiply
    176,772x = 384,280 × 384,280
  4. Step 4: Simplify right side
    176,772x = 147,671,118,400
  5. Step 5: Solve for x
    x = 147,671,118,400/176,772
  6. Step 6: Final answer
    x = 835,376.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.