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Finding the Third Proportional to 177,317 and 384,776

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Solution

The third proportional to 177,317 and 384,776 is: 834,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,317 : 384,776 = 384,776 : x
  2. Step 2: Convert to fraction form
    177,317/384,776 = 384,776/x
  3. Step 3: Cross multiply
    177,317x = 384,776 × 384,776
  4. Step 4: Simplify right side
    177,317x = 148,052,570,176
  5. Step 5: Solve for x
    x = 148,052,570,176/177,317
  6. Step 6: Final answer
    x = 834,959.82

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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.