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Finding the Third Proportional to 177,566 and 380,113

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Solution

The third proportional to 177,566 and 380,113 is: 813,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,566 : 380,113 = 380,113 : x
  2. Step 2: Convert to fraction form
    177,566/380,113 = 380,113/x
  3. Step 3: Cross multiply
    177,566x = 380,113 × 380,113
  4. Step 4: Simplify right side
    177,566x = 144,485,892,769
  5. Step 5: Solve for x
    x = 144,485,892,769/177,566
  6. Step 6: Final answer
    x = 813,702.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.